一类时变混合拟变分-半变分不等式问题：可解性及其应用

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-27 DOI:10.1016/j.cnsns.2025.108966

Chang Wang , Yi-bin Xiao , Dong-ling Cai

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引用次数: 0

摘要

本文研究了一类时变混合拟变分-半变分不等式问题（TMQVHVI），该问题具有约束集对解的依赖性。利用静态混合拟变分-半变分不等式和可测选择引理证明了TMQVHVI的可解性。建立了TMQVHVI解集的有界性和闭性。最后，我们证明了所得结果对弹性材料的摩擦接触模型和广义不可压缩牛顿流体的Oseen模型的适用性，并据此推导了它们弱解的存在性。

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A class of time-dependent mixed quasi-variational–hemivariational inequality problems: solvability and applications

In this paper, we explore a class of time-dependent mixed quasi-variational-hemivariational inequality problems (TMQVHVI), which are characterized by the dependence of their constraint set on the solutions. We prove a solvability result for TMQVHVI by using a static mixed quasi-variational–hemivariational inequality and a measurable selection lemma. And, moreover, the boundedness and closedness of solution set to TMQVHVI are established. Ultimately, we demonstrate the applicability of the obtained results to a frictional contact model with elastic material and an Oseen model of a generalized incompressible Newtonian fluid, in which the existence of their weak solutions are derived accordingly.

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.