Glimm’s method and density of wild data for the Euler system of gas dynamics

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00582709" target="_blank" >RIV/67985840:_____/24:00582709 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1088/1361-6544/ad1cbd" target="_blank" >https://doi.org/10.1088/1361-6544/ad1cbd</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1361-6544/ad1cbd" target="_blank" >10.1088/1361-6544/ad1cbd</a>

Result language

angličtina

Original language name

Glimm’s method and density of wild data for the Euler system of gas dynamics

Original language description

We adapt Glimm’s approximation method to the framework of convex integration to show density of wild data for the (complete) Euler system of gas dynamics. The desired infinite family of entropy admissible solutions emanating from the same initial data is obtained via convex integration of suitable Riemann problems pasted with local smooth solutions. In addition, the wild data belong to BV class.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA21-02411S" target="_blank" >GA21-02411S: Solving ill posed problems in the dynamics of compressible fluids</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

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

Name of the periodical

Nonlinearity

ISSN

0951-7715

e-ISSN

1361-6544

Volume of the periodical

37

Issue of the periodical within the volume

3

Country of publishing house

US - UNITED STATES

Number of pages

12

Pages from-to

035005

UT code for WoS article

001149619800001

EID of the result in the Scopus database

2-s2.0-85183522157