On solvability of a nonstationary problem of the dynamics of the incompressible viscoelastic nonzeroth order Kelvin-Voigt fluid
type: Item
instance of: scholarly article
title: On solvability of a nonstationary problem of the dynamics of the incompressible viscoelastic nonzeroth order Kelvin-Voigt fluid
zbMATH Open document ID: 0951.76008
published in: Russian Mathematics
publication date: 1999-11-02T00:00:00Z
review text: The author proves existence theorem for an abstract Cauchy problem for semilinear non-stationary equation of the Sobolev type, and then treats a Cauchy-Dirichlet problem for the incompressible viscoelastic Kelvin-Voigt fluid as a particular case of the abstract problem. The results of the paper generalize the results by \textit{G. A. Sviridyuk} [Russ. Math. 38, No. 1, 59-68 (1994); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 1(380), 62-70 (1994; Zbl 0828.76010)].
Mathematics Subject Classification ID: 76A10
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 1309927
zbMATH Keywords: semilinear nonstationary equation of Sobolev type
zbMATH Keywords: abstract Cauchy problem
zbMATH Keywords: Cauchy-Dirichlet problem
zbMATH Keywords: incompressible viscoelastic Kelvin-Voigt fluid
author: T. G. Sukacheva
reviewed by: P. B. Dubovski
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1309927