(S)-convergence and approximation of oscillatory solutions in fluid dynamics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00542577" target="_blank" >RIV/67985840:_____/21:00542577 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1088/1361-6544/abbd84" target="_blank" >https://doi.org/10.1088/1361-6544/abbd84</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1361-6544/abbd84" target="_blank" >10.1088/1361-6544/abbd84</a>

Result language
angličtina
Original language name
(S)-convergence and approximation of oscillatory solutions in fluid dynamics
Original language description
We propose a new concept of (S)-convergence applicable to numerical methods as well as other consistent approximations of the Euler system in gas dynamics. (S)-convergence, based on averaging in the spirit of the strong lawof large numbers, reflects the asymptotic properties of a given approximate sequence better than the standard description via Young measures. Similarity with the tools of ergodic theory is discussed.
Czech name
—
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/GA18-05974S" target="_blank" >GA18-05974S: Oscillations and concentrations versus stability in the equations of mathematical fluid dynamics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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