Discontinuous solutions to the Euler equations for a Van der Waals fluid
type: Item
instance of: scholarly article
title: Discontinuous solutions to the Euler equations for a Van der Waals fluid
zbMATH Open document ID: 1110.35043
published in: Applied Mathematics Letters
publication date: 2007-02-19T00:00:00Z
review text: The author considers discontinuous solutions to the Euler system for the van der Waals fluid in two dimensions. These solutions contain one shock and one phase transition. The general case when there is a characteristic between the shock and the phase boundary is studied. The local (with respect to time) existence of such solutions is proved. The method of the proof is linearization and an iteration scheme.
reviewed by: Ilya A. Chernov
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 5128107
zbMATH Keywords: phase transition
zbMATH Keywords: shock waves
zbMATH Keywords: two dimensions
author: Shuyi Zhang
MaRDI profile type: Publication
full work available at URL: j.aml.2006.03.010
OpenAlex ID: W2018435121
cites work: The stability of multidimensional shock fronts
cites work: The existence of multidimensional shock fronts
cites work: Interaction de Deux Chocs Pour un Systeme de Deux Lois de Conservation, en Dimension Deux D'Espace
cites work: Double Shock Fronts for Hyperbolic Systems of Conservation Laws in Multidimensional Space
cites work: Stability of multi-dimensional phase transitions in a Van der Waals fluid
cites work: Stability of subsonic planar phase boundaries in a van der Waals fluid
cites work: Stability and existence of multidimensional subsonic phase transitions
DOI: 10.1016/J.AML.2006.03.010
Recommended article: Discontinuous solutions of the Navier-Stokes equations for compressible flow
Recommended article: Discontinuous solutions of the boundary-layer equations
Recommended article: Q4352858
Recommended article: Q4241907
Recommended article: Global Smooth Solutions of Euler Equations for Van der Waals Gases
Recommended article: Continuous and discrete adjoints to the Euler equations for fluids
Recommended article: Q3609056
Recommended article: Discontinuous solutions of steady state, viscous compressible Navier- Stokes equations
Recommended article: Q3705147
Recommended article: Vanishing Viscosity and Backward Euler Approximations for Conservation Laws with Discontinuous Flux
description: scientific article; zbMATH DE number 5128107