Global III - posedness of the isentropis system of gas dynamics

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00444193" target="_blank" >RIV/67985840:_____/15:00444193 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1002/cpa.21537" target="_blank" >http://dx.doi.org/10.1002/cpa.21537</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/cpa.21537" target="_blank" >10.1002/cpa.21537</a>

Result language

angličtina

Original language name

Global III - posedness of the isentropis system of gas dynamics

Original language description

We consider the isentropic compressible Euler system in 2 space dimensions with pressure law p (?) = ?2 and we show the existence of classical Riemann data, i.e. pure jump discontinuities across a line, for which there are infinitely many admissible bounded weak solutions (bounded away from the void). We also show that some of these Riemann data are generated by a 1-dimensional compression wave: our theorem leads therefore to Lipschitz initial data for which there are infinitely many global bounded admissible weak solutions.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Communications on Pure and Applied Mathematics

ISSN

0010-3640

e-ISSN

—

Volume of the periodical

68

Issue of the periodical within the volume

7

Country of publishing house

US - UNITED STATES

Number of pages

34

Pages from-to

1157-1190

UT code for WoS article

000354887200002

EID of the result in the Scopus database

2-s2.0-84929702228