Global strong solution of nonhomogeneous Bénard system with large initial data and vacuum in a bounded domain
type: Item
instance of: scholarly article
title: Global strong solution of nonhomogeneous Bénard system with large initial data and vacuum in a bounded domain
zbMATH Open document ID: 1472.35315
DOI: 10.4171/ZAA/1677
author: Xin Zhong
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2021-07-02T00:00:00Z
review text: Summary: We study an initial boundary value problem of two-dimensional nonhomogeneous Bénard system with nonnegative density. We derive the global existence of a unique strong solution. In particular, the initial data can be arbitrarily large.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 35D35
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7367454
zbMATH Keywords: nonhomogeneous Bénard system
zbMATH Keywords: global strong solution
zbMATH Keywords: large initial data
zbMATH Keywords: vacuum
MaRDI profile type: Publication
cites work: Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
cites work: EXISTENCE RESULT FOR HEAT-CONDUCTING VISCOUS INCOMPRESSIBLE FLUIDS WITH VACUUM
cites work: Strong Solutions of the Navier–Stokes Equations for Nonhomogeneous Incompressible Fluids
cites work: Regularity results for two-dimensional flows of multiphase viscous fluids
cites work: A new approach to energy theory in the stability of fluid motion
cites work: Exponential decay of Bénard convection problem with surface tension
cites work: Local existence and uniqueness of strong solutions to the Navier-Stokes equations with nonnegative density
cites work: Q4893762
cites work: Q4798343
cites work: Existence and nonuniqueness of rectangular solutions of the Benard problem
cites work: Global well-posedness for the 2D inviscid Bénard system with fractional diffusivity and Yudovich's type data
cites work: Regularity criterion of the 2D Bénard equations with critical and supercritical dissipation
cites work: Global well-posedness for the \(2\frac{1}{2}\)D Bénard system with partial viscosity terms
cites work: Global well-posedness of incompressible Bénard problem with zero dissipation or zero thermal diffusivity
cites work: Local strong solutions to the nonhomogeneous Bénard system with nonnegative density
description: scientific article; zbMATH DE number 7367454