Peer-reviewedCC BYElectronic Journal of Differential Equations
Incompressible limit for non-isentropic compressible Euler-Navier-Stokes two-phase flow model in R^3
- 1Univ. of Sciences, Pyongyang, DPR Korea
- 2State Academy of Sciences, Pyongyang, DPR Korea
Abstract
This article concerns the incompressible limit for the two-phase flow model consisting of the compressible isothermal Euler equations coupled with compressible non-isentropic Navier-Stokes equations through a drag forcing term. For the 3D Cauchy problem, we rigorously justify the incompressible limits, which mean that the solutions converge to that of a compressible Euler/incompressible Navier-Stokes system and a compressible Euler/non-homogeneous incompressible Navier-Stokes system as Mach number goes to zero, under the small and large temperature variations, respectively.
Related
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BibTeX
@article{rim2026incompressible,
title = {{Incompressible limit for non-isentropic compressible Euler-Navier-Stokes two-phase flow model in R^3}},
author = {Chol-Ung Rim and Hakho Hong},
journal = {Electronic Journal of Differential Equations},
year = {2026},
month = oct,
url = {http://ejde.math.txstate.edu/Volumes/2026/78/abstr.html},
note = {CC BY},
}
RIS
TY - JOUR
TI - Incompressible limit for non-isentropic compressible Euler-Navier-Stokes two-phase flow model in R^3
AU - Chol-Ung Rim
AU - Hakho Hong
PY - 2026
DA - 2026/10/23
JO - Electronic Journal of Differential Equations
UR - http://ejde.math.txstate.edu/Volumes/2026/78/abstr.html
AB - This article concerns the incompressible limit for the two-phase flow model consisting of the compressible isothermal Euler equations coupled with compressible non-isentropic Navier-Stokes equations through a drag forcing term. For the 3D Cauchy problem, we rigorously justify the incompressible limits, which mean that the solutions converge to that of a compressible Euler/incompressible Navier-Stokes system and a compressible Euler/non-homogeneous incompressible Navier-Stokes system as Mach number goes to zero, under the small and large temperature variations, respectively.
SN - 1072-6691
ER -