Stochastic Navier-Stokes–Fourier equations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00524143" target="_blank" >RIV/67985840:_____/20:00524143 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1512/iumj.2020.69.7895" target="_blank" >http://dx.doi.org/10.1512/iumj.2020.69.7895</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1512/iumj.2020.69.7895" target="_blank" >10.1512/iumj.2020.69.7895</a>

Result language

angličtina

Original language name

Stochastic Navier-Stokes–Fourier equations

Original language description

We study the full Navier-Stokes-Fourier system governing the motion of a general viscous, heat-conducting, and compressible fluid subject to stochastic perturbation. Stochastic effects are implemented through (i) random initial data, (ii) a forcing term in the momentum equation represented by a multiplicative white noise, (iii) random heat source in the internal energy balance. We establish existence of a weak martingale solution under physically grounded structural assumptions. As a byproduct of our theory we can show that stationary martingale solutions only exist in certain trivial cases.

Czech name

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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

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2020

Confidentiality

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

Name of the periodical

Indiana University Mathematics Journal

ISSN

0022-2518

e-ISSN

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Volume of the periodical

69

Issue of the periodical within the volume

3

Country of publishing house

US - UNITED STATES

Number of pages

65

Pages from-to

911-975

UT code for WoS article

000530713400007

EID of the result in the Scopus database

2-s2.0-85089068272