Convergence of a stochastic collocation finite volume method for the compressible Navier-Stokes system

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00580545" target="_blank" >RIV/67985840:_____/23:00580545 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1214/23-AAP1937" target="_blank" >https://doi.org/10.1214/23-AAP1937</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1214/23-AAP1937" target="_blank" >10.1214/23-AAP1937</a>

Result language
angličtina
Original language name
Convergence of a stochastic collocation finite volume method for the compressible Navier-Stokes system
Original language description
We propose a stochastic collocation method based on the piecewise constant interpolation on the probability space combined with a finite volume method to solve the compressible Navier-Stokes system at the nodal points. We show convergence of numerical solutions to a statistical solution of the Navier-Stokes system on condition that the numerical solutions are bounded in probability. The analysis uses the stochastic compactness method based on the Skorokhod/Jakubowski representation theorem and the criterion of convergence in probability due to Gyöngy and Krylov.
Czech name
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Czech description
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Type
J<sub>imp</sub> - 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
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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