The Riemann problem for the two-dimensional zero-pressure Euler equations
type: Item
instance of: scholarly article
title: The Riemann problem for the two-dimensional zero-pressure Euler equations
zbMATH Open document ID: 1415.35195
author: Yicheng Pang
published in: Journal of Mathematical Analysis and Applications
publication date: 2019-02-21T00:00:00Z
review text: The author considers the two-dimensional compressible Euler system with zero pressure and energy transport. The domain is \(\mathbb{R}^2\). Total energy consists of the internal energy, changed only by transport, and the kinetic energy of the motion. The initial data are Riemann, constant in each quadrant. An additional assumption is that each initial discontinuity gives only one wave. Twenty three exact solutions are obtained and analyzed. \(\delta\)-shock solutions for both density and energy are revealed. Rankine-Hugoniot relation and entropy condition are proposed.
reviewed by: Ilya A. Chernov
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 35Q31
Mathematics Subject Classification ID: 35C05
zbMATH DE Number: 7027391
zbMATH Keywords: delta shock wave
zbMATH Keywords: contact discontinuity
zbMATH Keywords: vacuum
zbMATH Keywords: exact solutions
MaRDI profile type: Publication
full work available at URL: j.jmaa.2018.12.046
OpenAlex ID: W2906443250
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Wikidata QID: Q128724834
DOI: 10.1016/J.JMAA.2018.12.046
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description: scientific article; zbMATH DE number 7027391