Contact discontinuities in multi-dimensional isentropic euler equations

Jan Brezina, Elisabetta Chiodaroli, Ondřej Kreml

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this note we partially extend the recent nonuniqueness results on admissible weak solutions to the Riemann problem for the 2D compressible isentropic Euler equations. We prove non-uniqueness of admissible weak solutions that start from the Riemann initial data allowing a contact discontinuity to emerge.

Original languageEnglish
Article number94
JournalElectronic Journal of Differential Equations
Volume2018
Publication statusPublished - Apr 19 2018
Externally publishedYes

Fingerprint

Contact Discontinuity
Nonuniqueness
Euler Equations
Weak Solution
Compressible Euler Equations
Cauchy Problem

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

Contact discontinuities in multi-dimensional isentropic euler equations. / Brezina, Jan; Chiodaroli, Elisabetta; Kreml, Ondřej.

In: Electronic Journal of Differential Equations, Vol. 2018, 94, 19.04.2018.

Research output: Contribution to journalArticle

@article{8750231dd2c344f5805dba97a45fc37e,
title = "Contact discontinuities in multi-dimensional isentropic euler equations",
abstract = "In this note we partially extend the recent nonuniqueness results on admissible weak solutions to the Riemann problem for the 2D compressible isentropic Euler equations. We prove non-uniqueness of admissible weak solutions that start from the Riemann initial data allowing a contact discontinuity to emerge.",
author = "Jan Brezina and Elisabetta Chiodaroli and Ondřej Kreml",
year = "2018",
month = "4",
day = "19",
language = "English",
volume = "2018",
journal = "Electronic Journal of Differential Equations",
issn = "1072-6691",
publisher = "Texas State University - San Marcos",

}

TY - JOUR

T1 - Contact discontinuities in multi-dimensional isentropic euler equations

AU - Brezina, Jan

AU - Chiodaroli, Elisabetta

AU - Kreml, Ondřej

PY - 2018/4/19

Y1 - 2018/4/19

N2 - In this note we partially extend the recent nonuniqueness results on admissible weak solutions to the Riemann problem for the 2D compressible isentropic Euler equations. We prove non-uniqueness of admissible weak solutions that start from the Riemann initial data allowing a contact discontinuity to emerge.

AB - In this note we partially extend the recent nonuniqueness results on admissible weak solutions to the Riemann problem for the 2D compressible isentropic Euler equations. We prove non-uniqueness of admissible weak solutions that start from the Riemann initial data allowing a contact discontinuity to emerge.

UR - http://www.scopus.com/inward/record.url?scp=85046144841&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85046144841&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85046144841

VL - 2018

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

SN - 1072-6691

M1 - 94

ER -