On the blowup criteria and global regularity for the non-diffusive Boussinesq equations with temperature-dependent viscosity coefficient
type: Item
instance of: scholarly article
title: On the blowup criteria and global regularity for the non-diffusive Boussinesq equations with temperature-dependent viscosity coefficient
zbMATH Open document ID: 1350.35154
author: Ming He
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2016-08-18T00:00:00Z
review text: In this article the authors considers the 2D Boussinesq system with temperature dependent viscosity \(\mu(\theta)\) where the incompressible Navier-Stokes system is coupled to a transport equation convecting the temperature \(\theta\) along the velocity field \(\vec u\) of the fluid. He identifies a blow-up criterion for classical solutions depending only on the norm \(\|\nabla\mu(\theta)\|_{L^q(L^p)}\).
reviewed by: Bernard Ducomet
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 76D09
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 6618025
zbMATH Keywords: Boussinesq equations
zbMATH Keywords: temperature-dependent viscosity
zbMATH Keywords: blowup criterion
zbMATH Keywords: global regularity
MaRDI profile type: Publication
full work available at URL: j.na.2016.06.007
OpenAlex ID: W2469545689
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DOI: 10.1016/J.NA.2016.06.007
description: scientific article; zbMATH DE number 6618025