Weak Solvability of Some Fractional Viscoelasticity Models

被引：0

作者：

Orlov, Vladimir ^{[1
]}

机构：

[1] Voronezh State Univ, Dept Math, Voronezh 394006, Russia

来源：

INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2018) | 2018年 / 1997卷

关键词：

D O I：

10.1063/1.5049014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper we establish the existence of weak solutions of the initial-boundary value problem for equations of one viscoelastic model of fluid with memory. We use approximation-topological method which involves replacement of the given problem by operator equation, an approximation of equation in a weak sense, and the application of topological degree theory which allows to establish the existence of solutions on the base of a priori estimates and passing to the limit statements.

引用

页数：6

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