Stability of strong solutions for a model of incompressible two--phase flow under thermal fluctuations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00504395" target="_blank" >RIV/67985840:_____/19:00504395 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jde.2019.03.006" target="_blank" >http://dx.doi.org/10.1016/j.jde.2019.03.006</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jde.2019.03.006" target="_blank" >10.1016/j.jde.2019.03.006</a>

Result language
angličtina
Original language name
Stability of strong solutions for a model of incompressible two--phase flow under thermal fluctuations
Original language description
We consider a model of a two–phase flow based on the phase field approach, where the fluid bulk velocity obeys the standard Navier–Stokes system while the concentration difference of the two fluids plays a role of order parameter governed by the Allen–Cahn equations. Possible thermal fluctuations are incorporated through a random forcing term in the Allen–Cahn equation. We show that suitable dissipative martingale solutions satisfy a stochastic version of the relative energy inequality. This fact is used for showing the weak–strong uniqueness principle both pathwise and in law.
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/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
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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