Low Mach number limit of a compressible Euler-Korteweg model

Yajie Wang; Jianwei Yang

Applications of Mathematics (2023)

  • Volume: 68, Issue: 1, page 99-108
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Wang, Yajie, and Yang, Jianwei. "Low Mach number limit of a compressible Euler-Korteweg model." Applications of Mathematics 68.1 (2023): 99-108. <http://eudml.org/doc/299445>.

@article{Wang2023,
abstract = {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.},
author = {Wang, Yajie, Yang, Jianwei},
journal = {Applications of Mathematics},
keywords = {Euler-Korteweg equation; compressible flow; low Mach number limit; modulated energy function},
language = {eng},
number = {1},
pages = {99-108},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Low Mach number limit of a compressible Euler-Korteweg model},
url = {http://eudml.org/doc/299445},
volume = {68},
year = {2023},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 1
SP - 99
EP - 108
AB - 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.
LA - eng
KW - Euler-Korteweg equation; compressible flow; low Mach number limit; modulated energy function
UR - http://eudml.org/doc/299445
ER -

References

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