Nonstationary flows of nonsymmetric fluids with thermal convection
type: Item
instance of: scholarly article
title: Nonstationary flows of nonsymmetric fluids with thermal convection
zbMATH Open document ID: 0791.76004
author: Yoshiyuki Kagei
author: Maria Skowron
published in: Hiroshima Mathematical Journal
publication date: 1994-01-06T00:00:00Z
review text: When the molecules of a fluid are not spherically symmetrical, the stress tensor is not symmetrical, but has an antisymmetric part which contributes to the balance of angular momentum. The aim of this paper is to treat the nonstationary problem of convection when the volumetric force and the momentum density of external forces depend on the temperature. The steady problem had been previously discussed by \textit{G. Lukaszewicz} and \textit{W. Walus} [Math. Methods Appl. Sci. 11, No. 3, 343- 351 (1989; Zbl 0679.76049)]. Due to the difficulties arising from the quadratic nonlinearities in the dissipation function, only strong solutions are considered in this paper, and the local existence of strong solutions is shown via the Banach fixed point argument.
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 482176
zbMATH Keywords: stress tensor
zbMATH Keywords: volumetric force
zbMATH Keywords: momentum density
zbMATH Keywords: quadratic nonlinearities
zbMATH Keywords: dissipation function
zbMATH Keywords: local existence
zbMATH Keywords: fixed point argument
reviewed by: D. Jou
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 482176