Weak solutions for compressible Navier-Stokes-Fourier system in two space dimensions with adiabatic exponent almost one
type: Item
instance of: scholarly article
title: Weak solutions for compressible Navier-Stokes-Fourier system in two space dimensions with adiabatic exponent almost one
zbMATH Open document ID: 1469.76095
author: Emil Skříšovský
author: Milan Pokorný
published in: Acta Applicandae Mathematicae
publication date: 2021-06-28T00:00:00Z
review text: The authors study the Navier-Stokes-Fourier system for heat-conducting fluids in two spatial dimensions. Zero-flux boundary conditions hold at the boundary. The main result is the existence theorem for the weak solution. The state equation is nonlinear, of the special form, with some parameter \(\alpha\). Existence is proved for large enough \(\alpha>\mathrm{const}\) with no estimates on initial data nor on the right-hand side.
reviewed by: Ilya A. Chernov
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 76N06
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 7363732
zbMATH Keywords: compressible Navier-Stokes-Fourier equations
zbMATH Keywords: zero-flux boundary condition
zbMATH Keywords: Orlicz space
zbMATH Keywords: renormalized solution
zbMATH Keywords: compensated compactness
MaRDI profile type: Publication
full work available at URL: s10440-021-00394-6
OpenAlex ID: W3129362124
cites work: Generalized Korn's inequality and conformal Killing vectors
cites work: On the existence of solutions to the Navier-Stokes equations of a two-dimensional compressible flow
cites work: Q3995411
cites work: Q4828833
cites work: Q5702675
cites work: Singular limits in thermodynamics of viscous fluids
cites work: On the existence of globally defined weak solutions to the Navier-Stokes equations
cites work: Dissipative measure-valued solutions to the compressible Navier-Stokes system
cites work: The Dirichlet problem for viscous compressible isothermal Navier-Stokes equations in two dimensions
cites work: Q3272715
cites work: Q4389323
cites work: Q4348185
cites work: The initial value problem for the equations of motion of viscous and heat-conductive gases
cites work: On the steady compressible Navier-Stokes-Fourier system
cites work: Direct Methods in the Theory of Elliptic Equations
cites work: Weak solutions for steady compressible Navier-Stokes-Fourier system in two space dimensions.
cites work: Existence of global solutions for 2-dimensional viscous compressible flows
cites work: Erratum to ``Existence of global solutions for 2-dimensional viscous compressible flows''
cites work: Function Spaces
cites work: Isothermal Navier--Stokes Equations and Radon Transform
cites work: On the steady solutions to a model of compressible heat conducting fluid in two space dimensions
cites work: Q4000065
cites work: CALDERÓN–ZYGMUND OPERATORS ON MIXED LEBESGUE SPACES AND APPLICATIONS TO NULL FORMS
cites work: Q5607484
cites work: Q5547919
DOI: 10.1007/S10440-021-00394-6
description: scientific article; zbMATH DE number 7363732