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Gradient Estimates and Liouville-Type Theorems for a Class of Quasilinear Elliptic Equations on Complete Riemannian Manifolds 认领 引用
1
作者 Wang Youde Yang Mixue Zhang Liqin 《数学理论与应用》 2026年第2期18-39,共22页
This paper investigates gradient estimates for smooth solutions to a class of quasilinear elliptic equations of the form div((1+|▽u|2)θ▽u)+a|▽u|r+h(u)=0 on a complete Riemannian manifold,where a is a cons... This paper investigates gradient estimates for smooth solutions to a class of quasilinear elliptic equations of the form div((1+|▽u|2)θ▽u)+a|▽u|r+h(u)=0 on a complete Riemannian manifold,where a is a constant and h(u)is a nonlinear term.By employing the Saloff-Coste type Sobolev inequality and the Nash-Moser iteration method,we derive,under the assumption of a lower bound on the Ricci curvature,a unified and concise local gradient estimate for solutions satisfying the structural conditions −1/21+2θ.Moreover,an explicit upper bound for the gradient of entire solutions is obtained.As a direct consequence of these gradient estimates,we prove a Liouville-type theorem:if the manifold is noncompact and has nonnegative Ricci curvature,then any globally defined solution must be constant. 展开更多
关键词 Gradient estimate;Quasilinear elliptic equation;Riemannian manifold;Liouville-type theorem;Nash-Moser iteration
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Lp→LqEstimates for Stein’s Spherical Maximal Operators 认领 引用
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作者 Naijia Liu Minxing Shen +1 位作者 Liang Song Lixin Yan 《Analysis in Theory and Applications》 CSCD 2026年第1期90-108,共19页
In this article we consider a modification of the Stein’s spherical maximal operator of complex order a on Rn:■We show that when n≥,suppose||mα[1,2]f||Lq(Rn)≤C||f||Lp(Rn)holds for someα∈C,... In this article we consider a modification of the Stein’s spherical maximal operator of complex order a on Rn:■We show that when n≥,suppose||mα[1,2]f||Lq(Rn)≤C||f||Lp(Rn)holds for someα∈C,p,q≥,then we must have that q≥p and Reα≥σn(p,q):=max{1/p-n/q,n+1/2p-n-1/2(1/q+1),n/p-n+1}.Conversely,we show that Mα[1,2]is bounded from Lp(Rn)to Lq(Rn)provided that q≥p and Reα>σ2(p,q)for n=2;and Reα>max{σn(p,q),1/(2p)-(n-2)/(2q)-(n-1)/4}for n>2.The range ofα,p and q is almost optimal in the case when either n=2,or a=0,or(p,q)lies in certain regions for n>2. 展开更多
关键词 spherical maximal operators Lp-improving estimates wave equation local smoothing estimates
Error Estimates of the BDF2 Scheme with Variable Time Steps for the Cahn-Hilliard-Magnetohydrodynamics Equations 认领 引用
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作者 GAO Rongrong WANG Danxia 《应用数学》 北大核心 2026年第3期686-710,共25页
In this work,we investigate numerical approximation of the incompressible Cahn-Hilliard-Magnetohydrodynamics(CHMHD)system.Firstly a semi-discrete variabletime-step BDF2 numerical scheme is proposed based on two scalar... In this work,we investigate numerical approximation of the incompressible Cahn-Hilliard-Magnetohydrodynamics(CHMHD)system.Firstly a semi-discrete variabletime-step BDF2 numerical scheme is proposed based on two scalar auxiliary variables,one is used for linearizing the phase field function and the other is used for dealing with the nonlinear terms.This approach effectively reduces the computational complexity.Secondly,mass conservation,and stability of the scheme are proved.Furthermore,we break through the traditional fixed time-step approach in the temporal direction by adopting a variable-time-step method and provide error estimates for the second-order scheme through rigorous analysis.Finally,some results of numerical simulations are presented to verify the previous analysis.Additionally,an adaptive time step strategy is devised to optimize computational efficiency while ensuring accuracy. 展开更多
关键词 CHMHD equation Scalar auxiliary variable Variable-time-step BDF2 Error estimate
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Pogorelov type estimates for a class of complex Hessian quotient type equations 认领 引用
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作者 XU Wenzhao CHEN Chuanqiang 《纯粹数学与应用数学》 2026年第1期156-169,共14页
For the complex nonlinear elliptic partial differential equations,it is not easy to prove the Pogorelov type estimates.In this paper,we study a class of complex Hessian quotient type equations in convex cone Γk,wh... For the complex nonlinear elliptic partial differential equations,it is not easy to prove the Pogorelov type estimates.In this paper,we study a class of complex Hessian quotient type equations in convex cone Γk,which is of mixed Hessian type.For the Γk-admissible solutions,we establish the corresponding Pogorelov estimates with 0≤l<k<n and Pogorelov type estimates with l+1<k=n and l≥0.These extend the previous related results on the real Hessian quotient type equations. 展开更多
关键词 complex Hessian quotient type equations Pogorelov type estimates Γk-admissible solutions
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ELLIPTIC EQUATION WITH CRITICAL EXPONENT AND DIPOLE POTENTIAL: EXISTENCE AND DECAY ESTIMATES 认领 引用 被引量：1
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作者 Yu SU Zhisu LIU Senli LIU 《Acta Mathematica Scientia》 SCIE CSCD 2025年第2期636-658,共23页
The paper is concerned with a class of elliptic equation with critical exponent and Dipole potential.More precisely,we make use of the refined Sobolev inequality with Morrey norm to obtain the existence and decay prop... The paper is concerned with a class of elliptic equation with critical exponent and Dipole potential.More precisely,we make use of the refined Sobolev inequality with Morrey norm to obtain the existence and decay properties of nonnegative radial ground state solutions. 展开更多
关键词 Dipole potential decay estimation Hardy Sobolev critical exponent Henon Sobolev critical exponent
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The estimation method is the primary source of uncertainty in cropland nitrate leaching estimates in China 认领 引用
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作者 Xingshuai Tian Huitong Yu +4 位作者 Jiahui Cong Yulong Yin Kai He Zihan Wang Zhenling Cui 《Journal of Integrative Agriculture》 SCIE CAS CSCD 2025年第6期2425-2437,共13页
Cropland nitrate leaching is the major nitrogen(N) loss pathway, and it contributes significantly to water pollution. However, cropland nitrate leaching estimates show great uncertainty due to variations in input data... Cropland nitrate leaching is the major nitrogen(N) loss pathway, and it contributes significantly to water pollution. However, cropland nitrate leaching estimates show great uncertainty due to variations in input datasets and estimation methods. Here, we presented a re-evaluation of Chinese cropland nitrate leaching, and identified and quantified the sources of uncertainty by integrating three cropland area datasets, three N input datasets, and three estimation methods. The results revealed that nitrate leaching from Chinese cropland averaged 6.7±0.6 Tg N yr-1in 2010, ranging from 2.9 to 15.8 Tg N yr-1across 27 different estimates. The primary contributor to the uncertainty was the estimation method, accounting for 45.1%, followed by the interaction of N input dataset and estimation method at 24.4%. The results of this study emphasize the need for adopting a robust estimation method and improving the compatibility between the estimation method and N input dataset to effectively reduce uncertainty. This analysis provides valuable insights for accurately estimating cropland nitrate leaching and contributes to ongoing efforts that address water pollution concerns. 展开更多
关键词 cropland nitrate leaching uncertainty cropland area nitrogen input estimation method
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STRICHARTZ AND SMOOTHING ESTIMATES FOR DISPERSIVE SEMI-GROUP e-itP(D) IN WEIGHTED L2 SPACES AND THEIR APPLICATIONS 认领 引用
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作者 Jiecheng CHEN Shaolei RU Chenjing WU 《Acta Mathematica Scientia》 SCIE CSCD 2025年第2期401-415,共15页
Combining TT* argument and bilinear interpolation,this paper obtains the Strichartz and smoothing estimates of dispersive semigroup e-itP(D) in weighted L2 spaces.Among other things,we recover the results in[1].... Combining TT* argument and bilinear interpolation,this paper obtains the Strichartz and smoothing estimates of dispersive semigroup e-itP(D) in weighted L2 spaces.Among other things,we recover the results in[1].Moreover,the application of these results to the well-posedness of some equations are shown in the last section. 展开更多
关键词 Strichartz estimates smoothing estimates Morrey-Campanato class weighted L2spaces well-posedness
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Humility is critical in science communication:lessons from the UN's recent report on child mortality estimates 认领 引用
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作者 Daniel D.Reidpath Brian Wahl Nina Schwalbe 《Global Health Research and Policy》 CSCD 2025年第1期101-104,共4页
The United Nations announced a historic milestone in global child mortality in March 2024,with deaths among children less than 5 years falling below 5 million in 2022.While this news is welcome,the headline news is to... The United Nations announced a historic milestone in global child mortality in March 2024,with deaths among children less than 5 years falling below 5 million in 2022.While this news is welcome,the headline news is too definitive and masks uncertainties in the results.The UN's projections rely heavily on modeled estimates based on historical data,with only 5%of the 2022 estimate derived from countries with actual data for that year.The model also fails to account for the potential temporal discontinuity caused by the COVID-19 pandemic and is inconsistent with related data on declining vaccination rates.This critique calls for greater humility in communicating the uncertainties inherent in such projections and emphasizes the need for more robust,empirically grounded estimates to inform global health policy.The UN's role as a science communicator should be to provide clear,evidence-based insights while acknowledging the limitations of its methodology. 展开更多
关键词 humility child mortality historical datawith uncertainties modeled estimates science communication projections historical data
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Space and time estimates of second gradient thermal problems 认领 引用
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作者 J.R.FERNÁNDEZ V.PATA R.QUINTANILLA 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2025年第7期1403-1416,共14页
We consider the space and time decays of certain problems within the second gradient thermal law.Notably,for this thermal theory,the exponential time decay is precluded.First,the time estimates of polynomial type are ... We consider the space and time decays of certain problems within the second gradient thermal law.Notably,for this thermal theory,the exponential time decay is precluded.First,the time estimates of polynomial type are obtained for both the thermal equation and the one-dimensional thermoelastic system,where the impossibility of localization with respect to time is also established.Then,the space estimates are deduced for the multidimensional thermoelastic problem,which allow to show the exponential decay of the energy. 展开更多
关键词 second gradient theory thermoelasticity spatial estimate polynomial decay
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THE A PRIORI ESTIMATES FOR A CLASS OF GENERAL HESSIAN QUOTIENT TYPE EQUATIONS 认领 引用
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作者 Ni XIANG Yuni XIONG Jingyi YAO 《Acta Mathematica Scientia》 SCIE CSCD 2025年第3期867-884,共18页
In this paper, we derive the a priori estimates for a class of more general (k, l)-Hessian quotient type equations involving u and Du on the right hand function. As an application we prove the Liouville theorem depend... In this paper, we derive the a priori estimates for a class of more general (k, l)-Hessian quotient type equations involving u and Du on the right hand function. As an application we prove the Liouville theorem depending on Pogorelov type estimates. On the other hand, we obtain the existence and uniqueness of the k-admissible solution for these general equations with the Neumann boundary condition, based on some growth conditions for the right hand function. 展开更多
关键词 Hessian quotient type equations the a priori estimates Neumann problems Liouville Theorem
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Estimating the final fatalities using early reported death count from the 2023 Kahramanmaras,Türkiye,MS 8.0-7.9 earthquake doublet and revising the estimates over time 认领 引用
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作者 Yan Liu Zitao Wang Xuemin Zhang 《Earthquake Research Advances》 CSCD 2025年第2期5-12,共8页
Earthquakes can cause significant damage and loss of life,necessitating immediate assessment of the resulting fatalities.Rapid assessment and timely revision of fatality estimates are crucial for effective emergency d... Earthquakes can cause significant damage and loss of life,necessitating immediate assessment of the resulting fatalities.Rapid assessment and timely revision of fatality estimates are crucial for effective emergency decisionmaking.This study using the February 6,2023,MS8.0 and MS7.9 Kahramanmaras,Türkiye earthquakes as an example to estimate the ultimate number of fatalities.An early Quick Rough Estimate(QRE)based on the number of deaths reported by the Disaster and Emergency Management Presidency of Türkiye(AFAD)is conducted,and it dynamically adjusts these estimates as new data becomes available.The range of estimates of the final number of deaths can be calculated as 31384–56475 based on the"the QRE of the second day multiplied by 2–3" rule,which incorporates the reported final deaths 50500.The Quasi-Linear and Adaptive Estimation(QLAE)method adaptively adjusts the final fatality estimate within two days and predicts subsequent reported deaths.The correct order of magnitude of the final death toll can be estimated as early as 13 hr after the MS8.0 earthquake.In addition,additional earthquakes such as May 12,2008,MS8.1 Wenchuan earthquake(China),September 8,2023,MS7.2 Al Haouz earthquake(Morocco),November 3,2023,MS5.8 Mid-Western Nepal earthquake,December 18,2023,MS6.1 Jishishan earthquake(China),January 1,2024,MS7.2 Noto Peninsula earthquake(Japan)and August 8,2023,Maui,Hawaii,fires are added again to verified the correctness of the model.The fatalities from the Maui fires are found to be approximately equivalent to those resulting from an MS7.4 earthquake.These methods complement existing frameworks such as Quake Loss Assessment for Response and Mitigation(QLARM)and Prompt Assessment of Global. 展开更多
关键词 Kahramanmaras earthquake Earthquake fatality Human loss estimates Seismic risk 2023 Maui fires
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GLOBAL WEIGHTED SPACE-TIME ESTIMATES OF SMALL DATA WEAK SOLUTIONS TO 1-D SEMILINEAR WAVE EQUATIONS WITH SCALING INVARIANT DAMPINGS 认领 引用
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作者 Qianqian LI Huicheng YIN 《Acta Mathematica Scientia》 SCIE CSCD 2025年第6期2330-2353,共24页
In this paper,for the 1-D semilinear wave equation∂t2u-∂x2u+μ∂tu=|u|~p with scaling invariant damping,where t≥1,p>1 andμ∈(0,1)∪(1,4/3),we establish the global weighted space-time estimates as we... In this paper,for the 1-D semilinear wave equation∂t2u-∂x2u+μ∂tu=|u|~p with scaling invariant damping,where t≥1,p>1 andμ∈(0,1)∪(1,4/3),we establish the global weighted space-time estimates as well as the global existence of small data weak solution u when the nonlinearity power p is larger than some critical power pcrit(μ).Our proof is based on a class of new weighted Strichartz estimates with the weight tθ|(1-μ)2t2/|1-μ|-x2|γ(θ>0andγ>0 are appropriate constants)for the solution of linear generalized Tricomi equation∂t2φ-tm∂x2φ=0 with m being any fixed positive number. 展开更多
关键词 critical exponent generalized Tricomi equation scale-invariant damping weighted Strichartz estimate Fourier integral operator global existence
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Asymptotically Exact a Posteriori Error Estimates for Non-Symmetric Eigenvalue Problems 认领 引用
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作者 Jun ZHANG Jiayu HAN 《Journal of Mathematical Research with Applications》 CSCD 2025年第3期411-426,共16页
This paper is devoted to the Polynomial Preserving Recovery (PPR) based a posteriori error analysis for the second-order elliptic non-symmetric eigenvalue problem. An asymptotically exact a posteriori error estimator ... This paper is devoted to the Polynomial Preserving Recovery (PPR) based a posteriori error analysis for the second-order elliptic non-symmetric eigenvalue problem. An asymptotically exact a posteriori error estimator is proposed for solving the convection-dominated non-symmetric eigenvalue problem with non-smooth eigenfunctions or multiple eigenvalues. Numerical examples confirm our theoretical analysis. 展开更多
关键词 Polynomial Preserving Recovery non-symmetric eigenvalue problem a posteriori error estimates
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Incremental fault-tolerant control with adjustable predefined-time strategy for unilateral wing-damaged aircraft 认领 引用 被引量：1
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作者 Yu LI Chih-Yung WEN Youmin ZHANG 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2026年第7期154-171,共18页
This paper first analyzes the impact of unilateral wing loss on aircraft dynamics and establishes a high-precision nonlinear model for such a damaged aircraft.To guarantee the safety of the damaged aircraft,an adjusta... This paper first analyzes the impact of unilateral wing loss on aircraft dynamics and establishes a high-precision nonlinear model for such a damaged aircraft.To guarantee the safety of the damaged aircraft,an adjustable predefined-time incremental fault-tolerant control scheme integrated with overload feedback and a predefined-time sliding mode observer is then proposed.The proposed control scheme guarantees that the damaged aircraft recovers to a stable state within the appropriate user-defined time.Importantly,the proposed adjustable predefined-time scheme effectively resolves the mismatch between recovery time and recovery dynamics of the damaged aircraft.Additionally,another key feature of the proposed control scheme is the capability to estimate the disturbance in the measurement of the angular acceleration,thereby avoiding the robustness degradation.Finally,theoretical analysis rigorously proves the predefined-time stability of the closed-loop system,and extensive real-time simulations demonstrate the effectiveness and superiority of the developed fault-tolerant controller. 展开更多
关键词 Unilateral wing damage Fault-tolerant flight control Adjustable predefined-time strategy Observer estimation Predefined-time incremental control
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The Volume Estimates of Geodesic Balls on Finsler Gradient Ricci Solitons 认领 引用
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作者 CHENG Xinyue LIANG Zirui NI Qihui 《数学进展》 CSCD 北大核心 2025年第6期1357-1367,共11页
In this paper,we study and characterize the volume estimates of geodesic balls on Finsler gradient Ricci solitons.We get the upper bounds on the volumes of geodesic balls of all three kinds of Finsler gradient Ricci s... In this paper,we study and characterize the volume estimates of geodesic balls on Finsler gradient Ricci solitons.We get the upper bounds on the volumes of geodesic balls of all three kinds of Finsler gradient Ricci solitons under certain condition about the Laplacian of thedistance function. 展开更多
关键词 Finsler metric measure manifold weighted Ricci curvature gradient Ricci soliton geodesic ball volume estimate
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Estimation of truck mass and center of gravity using data-driven mechanics:a comparative study of TSO-SVM,CS-BP,SSA-ELM,and WOA-XGBoost in automotive dynamics 认领 引用
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作者 Wei Liu Yuanyou Fu +2 位作者 Yongjun Pan Weicheng Huang Aki Mikkola 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2026年第2期160-177,共18页
Accurate estimation of a truck’s mass and center of gravity(CG)is critical for optimizing safety and performance butremains challenging due to dynamic uncertainties in weight distribution and road interactions.This s... Accurate estimation of a truck’s mass and center of gravity(CG)is critical for optimizing safety and performance butremains challenging due to dynamic uncertainties in weight distribution and road interactions.This study introduces a datadriven mechanics framework integrating four hybrid machine learning(ML)models-tuna search-optimized support vector machine,cuckoo search-optimized BP neural networks,sparrow search algorithm-optimized extreme learning machine,and whalesearch-optimized XGBoost-to enable estimation.A 17-degree-of-freedom multibody dynamics model,incorporating suspension kinematics via a semirecursive formulation,generates simulation datasets linking real-time tuck states(pitch,roll)to massand CG.Search algorithms leverage physics-derived truck state data to initialize ML hyperparameters,enhancing training efficiency.Validation against multibody benchmarks confirms accuracy,while robustness is demonstrated across driving scenariosand noise.By unifying data-driven ML with physics-based mechanics,this approach advances parameter estimation,bridgingtruck dynamics with computational intelligence for automotive design. 展开更多
关键词 Parameter estimation Data-driven mechanics Multibody dynamics Center of gravity Hybrid machine learning Real-time estimation
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Fast Anomaly Detection and Joint State Estimation for Perturbed Nonlinear Systems With Prolonged Output Anomalies 认领 引用
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作者 Guangdeng Chen Xiao-Jie Peng +2 位作者 Yan Lei Chao Huang Hongyi Li 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2026年第6期1301-1313,共13页
State estimation under anomalies such as disturbances and faults remains a fundamental challenge in nonlinear systems,with its difficulty further exacerbated by potential network attacks.This study investigates fast a... State estimation under anomalies such as disturbances and faults remains a fundamental challenge in nonlinear systems,with its difficulty further exacerbated by potential network attacks.This study investigates fast anomaly detection and state estimation for perturbed nonlinear systems where actual outputs may be anomalous over a prolonged period.First,a fixedtime observer is constructed.By leveraging integral-type composite Lyapunov functions and homogeneity theory,the error bounds are proven under varying scenarios involving model disturbances,measurement noise,and nonlinearity.Based on these bounds,a fast anomaly detection mechanism is designed.Next,a cascade predictor is developed based on the fixed-time observer,which uses historical outputs from a previous time window to predict the current system state.Simultaneously,an algorithm is proposed to determine the reference historical output based on anomaly detection results,improving long-term prediction accuracy and mitigating the impact of anomaly detection delays.Finally,the secure state estimation is derived by fusing states from the fixed-time observer and the cascade predictor,depending on the anomaly detection results.The effectiveness of the proposed method is demonstrated through simulations on autonomous vehicles. 展开更多
关键词 Anomaly detection cascade predictor fixed-time observer output anomalies secure state estimation
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GENERALIZING SUBDIFFUSIVE BLACK-SCHOLES MODEL BY VARIABLE EXPONENT:MODEL TRANSFORMATION AND NUMERICAL APPROXIMATION 认领 引用
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作者 Meihui ZHANG Yaxue LIU +2 位作者 Mengmeng LIU Wenlin QIU Xiangcheng ZHENG 《Acta Mathematica Scientia》 SCIE CSCD 2026年第2期993-1010,共18页
This work generalizes the subdiffusive Black-Scholes model by introducing the variable exponent in order to provide adequate descriptions for the option pricing,where the variable exponent may account for the variatio... This work generalizes the subdiffusive Black-Scholes model by introducing the variable exponent in order to provide adequate descriptions for the option pricing,where the variable exponent may account for the variation of the memory property.In addition to standard nonlinear-to-linear transformation,we apply a further spatial-temporal transformation to convert the model to a more tractable form in order to circumvent the difficulties caused by the"non-positive,non-monotonic"variable-exponent memory kernel.An interesting phenomenon is that the spatial transformation not only eliminates the advection term but naturally turns the original noncoercive spatial operator into a coercive one due to the specific structure of the Black-Scholes model,which thus avoids imposing constraints on coefficients.Then we perform numerical analysis for both the semi-discrete and fully discrete schemes to support numerical simulation.Numerical experiments are carried out to substantiate the theoretical results. 展开更多
关键词 Black-Scholes model subdiffusion variable exponent error estimate option pricing
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SRKSE:Off-Grid Sub-Nyquist Channel Parameter Estimation for Signals of Opportunity 认领 引用
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作者 Bian Zhiang Lu Hu +4 位作者 Wang Zhisen Li Hao He Xin Chen Jinyu Xiao Jin 《China Communications》 SCIE EI CSCD 2026年第2期1-19,共19页
In GNSS-denied environments,signals of opportunity(SOP)offer an efficient and passive solution for navigation and positioning by utilizing ambient signals.Nevertheless,conventional SOP techniques face significant chal... In GNSS-denied environments,signals of opportunity(SOP)offer an efficient and passive solution for navigation and positioning by utilizing ambient signals.Nevertheless,conventional SOP techniques face significant challenges in real-time processing,especially under sub-Nyquist sampling conditions,due to high data acquisition rates and offgrid errors.To address this,this paper proposes the signal reconstruction and kernel sparse encoding(SRKSE)model,a novel general framework for high-precision parameter estimation.By combining compressed sensing with a deep unfolding network,the SRKSE model not only achieves robust signal reconstruction but also effectively reduces quantization errors.Key innovations of SRKSE include dual crossattention mechanisms for enhanced feature extraction,sinc sparse kernel encoding to minimize quantization errors,and a custom loss function for balanced optimization.With these advancements,SRKSE achieves up to a 650-fold improvement in time of arrival(TOA)estimation accuracy while operating at just 1%of the Nyquist sampling rate.The SRKSE surpasses both conventional and deep learning-based techniques in accuracy and efficiency,especially when operating under sub-Nyquist sampling conditions.Simulations and real-world experiments confirm the reliability and potential of SRKSE for real-time applications in IoT and wireless communication. 展开更多
关键词 channel estimation compressed sensing deep learning DUN off-grid sub-Nyquist TOA
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Unified physics-informed subspace identification and transformer learning for lithium-ion battery state-of-health estimation 认领 引用
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作者 Yong Li Hao Wang +3 位作者 Chenyang Wang Liye Wang Chenglin Liao Lifang Wang 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2026年第1期350-369,I0009,共20页
The growing use of lithium-ion batteries in electric transportation and grid-scale storage systems has intensified the need for accurate and highly generalizable state-of-health(SOH)estimation.Conventional approaches ... The growing use of lithium-ion batteries in electric transportation and grid-scale storage systems has intensified the need for accurate and highly generalizable state-of-health(SOH)estimation.Conventional approaches often suffer from reduced accuracy under dynamically uncertain state-of-charge(SOC)operating ranges and heterogeneous aging stresses.This study presents a unified SOH estimation framework that integrates physics-informed modeling,subspace identification,and Transformer-based learning.A reduced-order model is derived from simplified electrochemical dynamics,providing an interpretable and computationally efficient representation of battery behavior.Subspace identification across a wide SOC and SOH range yields degradation-sensitive features,which the Transformer uses to capture long-range aging dynamics via multi-head self-attention.Experiments on LiFePO4 cells under joint-cell training show consistently accurate SOH estimation,with a maximum error of 1.39%,demonstrating the framework’s effectiveness in decoupling SOC and SOH effects.In cross-cell validation,where training and validation are performed on different cells,the model maintains a maximum error of 2.06%,confirming strong generalization to unseen aging trajectories.Comparative experiments on LiFePO4and public LiCoO2datasets confirm the framework’s cross-chemistry applicability.By extracting low-dimensional,physically interpretable features via subspace identification,the framework significantly reduces training cost while maintaining high SOH estimation accuracy,outperforming conventional data-driven models lacking physical guidance. 展开更多
关键词 Lithium-ion battery Transformer learning Physics-informed modeling Subspace identification State-of-health estimation
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