Relative energy approach to a diffuse interface model of a compressible two-phase flow

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00503415" target="_blank" >RIV/67985840:_____/19:00503415 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/19:10408164
Result on the web
<a href="http://dx.doi.org/10.1002/mma.5436" target="_blank" >http://dx.doi.org/10.1002/mma.5436</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mma.5436" target="_blank" >10.1002/mma.5436</a>

Result language
angličtina
Original language name
Relative energy approach to a diffuse interface model of a compressible two-phase flow
Original language description
We propose a simple model for a two-phase flow with a diffuse interface. The model couples the compressible Navier-Stokes system governing the evolution of the fluid density and the velocity field with the Allen-Cahn equation for the order parameter. We show that the model is thermodynamically consistent, in particular, a variant of the relative energy inequality holds. As a corollary, we show the weak-strong uniqueness principle, meaning any weak solution coincides with the strong solution emanating from the same initial data on the life span of the latter. Such a result plays a crucial role in the analysis of the associated numerical schemes. Finally, we perform the low Mach number limit obtaining the standard incompressible model.
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/7AMB17FR053" target="_blank" >7AMB17FR053: Dynamics of mutli-component fluids</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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