General stability results for the translational problem of memory-type in porous thermoelasticity of type III

IF 1.1 Q1 MATHEMATICS

Journal of Nonlinear Functional Analysis Pub Date : 2020-01-01 DOI:10.23952/jnfa.2020.49

A. Guesmia, Mohammad M. Kafini, N. Tatar

引用次数: 3

Abstract

. A beam modelled by a Timoshenko system with a viscoelastic damping on one component is considered. The system is coupled with a hyperbolic heat equation. One end of the structure is ﬁxed to a platform in a translational movement and the other one is attached to a non-negligble mass. The well-posedness and asymptotic stability results for the system under some conditions on the initial and the boundary data are established.

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III型多孔热弹性中记忆型平移问题的一般稳定性结果

．考虑了单组分粘弹性阻尼的Timoshenko系统的梁。系统用双曲热方程耦合。结构的一端以平移运动固定在平台上，另一端附着在不可忽略的质量上。在初始数据和边界数据的条件下，给出了系统的适定性和渐近稳定性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Nonlinear Functional Analysis Multiple-

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： Journal of Nonlinear Functional Analysis focuses on important developments in nonlinear functional analysis and its applications with a particular emphasis on topics include, but are not limited to: Approximation theory; Asymptotic behavior; Banach space geometric constant and its applications; Complementarity problems; Control theory; Dynamic systems; Fixed point theory and methods of computing fixed points; Fluid dynamics; Functional differential equations; Iteration theory, iterative and composite equations; Mathematical biology and ecology; Miscellaneous applications of nonlinear analysis; Multilinear algebra and tensor computation; Nonlinear eigenvalue problems and nonlinear spectral theory; Nonsmooth analysis, variational analysis, convex analysis and their applications; Numerical analysis; Optimal control; Optimization theory; Ordinary differential equations; Partial differential equations; Positive operator inequality and its applications in operator equation spectrum theory and so forth; Semidefinite programming polynomial optimization; Variational and other types of inequalities involving nonlinear mappings; Variational inequalities.