The existence of strong solution for generalized Navier-Stokes equations with \(p(x)\)-power law under Dirichlet boundary conditions
type: Item
instance of: scholarly article
title: The existence of strong solution for generalized Navier-Stokes equations with \(p(x)\)-power law under Dirichlet boundary conditions
zbMATH Open document ID: 1481.35313
DOI: 10.1155/2021/6755411
author: Cholmin Sin
published in: Advances in Mathematical Physics
publication date: 2022-01-06T00:00:00Z
review text: Summary: In this note, in 2D and 3D smooth bounded domain, we show the existence of strong solution for generalized Navier-Stokes equation modeling by \(p(x)\)-power law with Dirichlet boundary condition under the restriction \((3n/(n + 2)n + 2)< p(x) < (2(n + 1))/(n - 1)\). In particular, if we neglect the convective term, we get a unique strong solution of the problem under the restriction \((2(n + 1))/(n + 3) < p(x) < (2(n + 1))/(n - 1)\), which arises from the nonflatness of domain.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35D35
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76V05
zbMATH DE Number: 7452849
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6755411
OpenAlex ID: W4200469736
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description: scientific article; zbMATH DE number 7452849