Convergence of solutions to the equation of quasi-static approximation of viscoelasticity with capillarity

被引：18

作者：

Rybka, P ^{[1
]}

Hoffmann, KH ^{[1
]}

机构：

[1] Tech Univ Munich, Inst Angew Math & Stat, D-80290 Munich, Germany

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 226卷 / 01期

关键词：

D O I：

10.1006/jmaa.1998.6066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The long time behavior of solutions to the quasi-steady approximation of the equation of viscoelasticity with capillarity is investigated. We consider the equation with a number of boundary conditions including such that the set of equilibria is necessarily at least one dimensional. We prove that any solution converges to an equilibrium point. We admit some kind of initial data with infinite energy. We use tools based on the assumption that the nonlinear term is real analytic. (C) 1998 Academic Press.

引用

页码：61 / 81

页数：21

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