Geodesic
Low Mach number limit of a compressible Euler-Korteweg model
Applications of Mathematics, Tome 68 (2023) no. 1, pp. 99-108 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

This article deals with the low Mach number limit of the compressible Euler-Korteweg equations. It is justified rigorously that solutions of the compressible Euler-Korteweg equations converge to those of the incompressible Euler equations as the Mach number tends to zero. Furthermore, the desired convergence rates are also obtained.
This article deals with the low Mach number limit of the compressible Euler-Korteweg equations. It is justified rigorously that solutions of the compressible Euler-Korteweg equations converge to those of the incompressible Euler equations as the Mach number tends to zero. Furthermore, the desired convergence rates are also obtained.
DOI : 10.21136/AM.2022.0067-21
Classification : 35B40, 35Q31, 35Q35
Keywords: Euler-Korteweg equation; compressible flow; low Mach number limit; modulated energy function 
@article{10_21136_AM_2022_0067_21,
     author = {Wang, Yajie and Yang, Jianwei},
     title = {Low {Mach} number limit of a compressible {Euler-Korteweg} model},
     journal = {Applications of Mathematics},
     pages = {99--108},
     year = {2023},
     volume = {68},
     number = {1},
     doi = {10.21136/AM.2022.0067-21},
     mrnumber = {4541077},
     zbl = {07655741},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0067-21/}
}
TY  - JOUR
AU  - Wang, Yajie
AU  - Yang, Jianwei
TI  - Low Mach number limit of a compressible Euler-Korteweg model
JO  - Applications of Mathematics
PY  - 2023
SP  - 99
EP  - 108
VL  - 68
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0067-21/
DO  - 10.21136/AM.2022.0067-21
LA  - en
ID  - 10_21136_AM_2022_0067_21
ER  - 
%0 Journal Article
%A Wang, Yajie
%A Yang, Jianwei
%T Low Mach number limit of a compressible Euler-Korteweg model
%J Applications of Mathematics
%D 2023
%P 99-108
%V 68
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0067-21/
%R 10.21136/AM.2022.0067-21
%G en
%F 10_21136_AM_2022_0067_21
Wang, Yajie; Yang, Jianwei. Low Mach number limit of a compressible Euler-Korteweg model. Applications of Mathematics, Tome 68 (2023) no. 1, pp. 99-108. doi: 10.21136/AM.2022.0067-21

Cité par Sources :