Contact discontinuities in multi-dimensional isentropic euler equations

Jan Brezina; Elisabetta Chiodaroli; Ondřej Kreml

Contact discontinuities in multi-dimensional isentropic euler equations

Jan Brezina, Elisabetta Chiodaroli, Ondřej Kreml

Research output: Contribution to journal › Article › peer-review

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 language	English
Article number	94
Journal	Electronic Journal of Differential Equations
Volume	2018
Publication status	Published - Apr 19 2018
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis

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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 Ond{\v r}ej Kreml",

year = "2018",

month = apr,

day = "19",

language = "English",

volume = "2018",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

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AU - Brezina, Jan

AU - Chiodaroli, Elisabetta

AU - Kreml, Ondřej

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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.

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JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

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