A class of integro-differential equations incorporating nonlinear and nonlocal damping with applications in nonlinear elastodynamics: Existence via time discretization

被引：21

作者：

Emmrich, Etienne ^{[1
]}

Thalhammer, Mechthild ^{[2
]}

机构：

[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

[2] Leopold Franzens Univ, Inst Math, A-6020 Innsbruck, Austria

来源：

NONLINEARITY | 2011年 / 24卷 / 09期

关键词：

DECAY;

D O I：

10.1088/0951-7715/24/9/008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A general model for the description of, e.g., an extensible beam is studied, incorporating weak, viscous and strong as well as Balakrishnan-Taylor damping. Convergence of a sequence of approximate solutions, resulting from a time discretization scheme, towards a weak solution is shown. This also proves the existence of a weak solution.

引用

页码：2523 / 2546

页数：24

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