Stability of planar rarefaction waves in the vanishing dissipation limit of the Navier-Stokes-Fourier system

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00617056" target="_blank" >RIV/67985840:_____/25:00617056 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1016/j.jfa.2025.110840" target="_blank" >https://doi.org/10.1016/j.jfa.2025.110840</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jfa.2025.110840" target="_blank" >10.1016/j.jfa.2025.110840</a>

Result language

angličtina

Original language name

Stability of planar rarefaction waves in the vanishing dissipation limit of the Navier-Stokes-Fourier system

Original language description

We consider the vanishing dissipation limit of the compressible Navier-Stokes-Fourier system, where the initial data approach a profile generating a planar rarefaction wave for the limit Euler system. We show that the associated weak solutions converge unconditionally to the planar rarefaction wave strongly in the energy norm.

Czech name

—

Czech description

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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/GA24-11034S" target="_blank" >GA24-11034S: Dissipative systems in fluid dynamics</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

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

Name of the periodical

Journal of Functional Analysis

ISSN

0022-1236

e-ISSN

1096-0783

Volume of the periodical

288

Issue of the periodical within the volume

8

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

28

Pages from-to

110840

UT code for WoS article

001434265400001

EID of the result in the Scopus database

2-s2.0-85216637952