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Time-dependent Global Attractors for the Nonclassical Diffusion Equations with Fading Memory: 《Acta Mathematicae Applicatae Sinica》2025年第2期498-512,共15页Yu-ming QIN Xiao-ling CHEN; supported by the National Natural Science Foundation of China(No.12171082);the Fundamental Research Funds for the Central Universities(No.2232023G-13).; In this paper,we discuss the long-time behavior of solutions to the nonclassical diffusion equation with fading memory when the nonlinear term f satisfies critical exponential growth and the external force g(x)∈L^(2)...; 关键词：time-dependent global attractors nonclassical diffusion equation fading memory time-dependent spaces long-time behavior

TIME MULTIPOINT NONLOCAL PROBLEM FOR A STOCHASTIC SCHRÖDINGER EQUATION: 《Journal of Computational Mathematics》2025年第2期369-393,共25页Roger Pettersson Ali Sirma Tarkan Aydin; A time multipoint nonlocal problem for a Schrödinger equation driven by a cylindrical Q-Wiener process is presented.The initial value depends on a finite number of future values.Existence and uniqueness of a solution ...; 关键词：Time nonlocal problem Mild solution Cylindrical Wiener process Time discretization Abstract time-dependent stochastic Schrödinger equation Euler-Maruyama method

In an Ocean or a River:Bilinear Auto-Backlund Transformations and Similarity Reductions on an Extended Time-Dependent(3+1)-Dimensional Shallow Water Wave Equation: 《China Ocean Engineering》2025年第1期160-165,共6页GAO Xin-yi; financially supported by the Scientific Research Foundation of North China University of Technology(Grant Nos.11005136024XN147-87 and 110051360024XN151-86).; With respect to oceanic fluid dynamics,certain models have appeared,e.g.,an extended time-dependent(3+1)-dimensional shallow water wave equation in an ocean or a river,which we investigate in this paper.Using symbolic...; 关键词：OCEAN RIVER extended time-dependent(3+1)-dimensional shallow water wave equation bilinear auto-Bäcklund transformation similarity reduction symbolic computation

Advancements in Numerical Solutions:Fractal Runge-Kutta Approach to Model Time-Dependent MHD Newtonian Fluid with Rescaled Viscosity on Riga Plate: 《Computer Modeling in Engineering & Sciences》2024年第11期1213-1241,共29页Muhammad Shoaib Arif Kamaleldin Abodayeh Yasir Nawaz; support of Prince Sultan University in paying the article processing charges(APC)for this publication.; Fractal time-dependent issues in fluid dynamics provide a distinct difficulty in numerical analysis due to their complex characteristics,necessitating specialized computing techniques for precise and economical soluti...; 关键词：Fractal scheme stability convergence fractal Newtonian fluid with rescaled viscosity fluid heat generation

Painlevéintegrability,auto-Bäcklund transformations,new abundant analytic solutions including multi-soliton solutions for time-dependent extended KdV8 equation in nonlinear physics: 《Journal of Ocean Engineering and Science》2024年第5期489-507,共19页Shailendra Singh S.Saha Ray; In this paper,a new eighth-order(1+1)-dimensional time-dependent extended KdV equation has been developed.This considered equation is being found completely integrable by using the Painlevéanalysis method.Moreover,th...; 关键词：Higher-order KdV equation Painlevéanalysis Auto-Bäcklund transformation Simplified Hirota method

The Application of Thermomechanical Dynamics (TMD) to Thermoelectric Energy Generation by Employing a Low Temperature Stirling Engine: 《Journal of Applied Mathematics and Physics》2024年第9期3185-3207,共23页Hiroshi Uechi Lisa Uechi Schun T. Uechi; A thermoelectric generation Stirling engine (TEG-Stirling engine) is discussed by employing a low temperature Stirling engine and the dissipative equation of motion derived from the method of thermomechanical dynamics...; 关键词：Thermoelectric Generation Stirling Engine (TEG-Stirling Engine) Thermomechanical Dynamics (TMD) Time-Dependent Nonequilibrium Temperature Stability of Heat Engines in a Thermal State Optimal Fuel-Injection and Combustion Timings

PERIODIC SYSTEMS WITH TIME DEPENDENT MAXIMAL MONOTONE OPERATORS: 《Acta Mathematica Scientia》2024年第4期1280-1300,共21页Zhenhai LIU Nikolaos S.PAPAGEORGIOU; supported by the NSFC(12071413);the Guangxi Natural Sci-ence Foundation(2023GXNSFAA026085);the European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No.823731 CONMECH。; We consider a first order periodic system in R^(N),involving a time dependent maximal monotone operator which need not have a full domain and a multivalued perturbation.We prove the existence theorems for both the con...; 关键词：periodic boundary condition time-dependent maximal monotone operator convex and nonconvex problems extremal solutions strong relaxation

A Formulation of the Porous Medium Equation with Time-Dependent Porosity: A Priori Estimates and Regularity Results: 《Applied Mathematics》2024年第10期745-763,共19页Koffi B. Fadimba; We consider a generalized form of the porous medium equation where the porosity ϕis a function of time t: ϕ=ϕ(x,t): ∂(ϕS)∂t−∇⋅(k(S)∇S)=Q(S).In many works, the porosity ϕis either assumed to be independent of (or to de...; 关键词：Porous Medium Equation POROSITY Saturation Equation A Priori Estimates Regularity Results

Attractor for the Extensible Beam Equation with Nonlocal Weak Damping on Time–Dependent Space: 《Acta Mathematica Sinica,English Series》2024年第4期1115-1126,共12页Chun Xiang ZHAO Feng Juan MENG; National Natural Science Foundation of China(Grant Nos.12101265,12026431,11701230,11731005);Qing Lan Project of Jiangsu Province;the dual creative(innovative and entrepreneurial)talents project in Jiangsu Province(Grant No.JSSCBS20210973);China Postdoctoral Science Foundation(Grant No.2022M721392)。; In this article,we consider the long-time behavior of extensible beams with nonlocal weak damping:ε(t)u_(tt)+Δ^(2)u-m(‖▽u‖^(2))Δu+‖u_(t)‖^(p_(u_(t)))+f(u)=h,whereε(t)is a decreasing function vanishing at infi...; 关键词：Time-dependent attractor extensible beams equation nonlocal weak damping

A Full Predictor-Corrector Finite Element Method for the One-Dimensional Heat Equation with Time-Dependent Singularities: 《Journal of Applied Mathematics and Physics》2024年第4期1364-1382,共19页Jake L. Nkeck; The energy norm convergence rate of the finite element solution of the heat equation is reduced by the time-regularity of the exact solution. This paper presents an adaptive finite element treatment of time-dependent ...; 关键词：SINGULARITIES Finite Element Methods Heat Equation Predictor-Corrector Algorithm

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