Geodesic
Weak-strong uniqueness for Navier-Stokes/Allen-Cahn system
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 3, pp. 837-851.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The coupled Navier-Stokes/Allen-Cahn system is a simple model to describe phase separation in two-component systems interacting with an incompressible fluid flow. We demonstrate the weak-strong uniqueness result for this system in a bounded domain in three spatial dimensions which implies that when a strong solution exists, then a weak solution emanating from the same data coincides with the strong solution on its whole life span. The proof of given assertion relies on a form of a relative entropy method.
DOI : 10.21136/CMJ.2019.0520-17
Classification : 35A02, 35B65
Keywords: Allen-Cahn system; weak-strong uniqueness 
@article{10_21136_CMJ_2019_0520_17,
     author = {Ho\v{s}ek, Radim and M\'acha, V\'aclav},
     title = {Weak-strong uniqueness for {Navier-Stokes/Allen-Cahn} system},
     journal = {Czechoslovak Mathematical Journal},
     pages = {837--851},
     publisher = {mathdoc},
     volume = {69},
     number = {3},
     year = {2019},
     doi = {10.21136/CMJ.2019.0520-17},
     mrnumber = {3989281},
     zbl = {07088819},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0520-17/}
}
TY  - JOUR
AU  - Hošek, Radim
AU  - Mácha, Václav
TI  - Weak-strong uniqueness for Navier-Stokes/Allen-Cahn system
JO  - Czechoslovak Mathematical Journal
PY  - 2019
SP  - 837
EP  - 851
VL  - 69
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0520-17/
DO  - 10.21136/CMJ.2019.0520-17
LA  - en
ID  - 10_21136_CMJ_2019_0520_17
ER  - 
%0 Journal Article
%A Hošek, Radim
%A Mácha, Václav
%T Weak-strong uniqueness for Navier-Stokes/Allen-Cahn system
%J Czechoslovak Mathematical Journal
%D 2019
%P 837-851
%V 69
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0520-17/
%R 10.21136/CMJ.2019.0520-17
%G en
%F 10_21136_CMJ_2019_0520_17
Hošek, Radim; Mácha, Václav. Weak-strong uniqueness for Navier-Stokes/Allen-Cahn system. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 3, pp. 837-851. doi : 10.21136/CMJ.2019.0520-17. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0520-17/

Cité par Sources :