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.
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页数：6
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