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Author:

Wang, Shu (Wang, Shu.) (Scholars:王术) | Zhao, Yixuan (Zhao, Yixuan.)

Indexed by:

SCIE

Abstract:

We are concerned with the time-asymptotic stability of planar rarefaction wave to a non-conservative two-phase flow system described by two-dimentional compressible Euler and Navier-Stokes equations through drag force. In this paper, we show the planar rarefaction wave to a non-conservative compressible two-phase model is asymptotically stable under small initial perturbation in H-3. The main difficulties overcome in this paper come from the non-viscosity of one fluid and the interaction between two fluids caused by drag force. The stability result is proved by the energy method.

Keyword:

planar rarefaction wave asymptotic stability energy method Two-phase flow

Author Community:

  • [ 1 ] [Wang, Shu]Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Zhao, Yixuan]Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Zhao, Yixuan]Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China;;

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Source :

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

ISSN: 1531-3492

Year: 2022

Issue: 1

Volume: 28

Page: 623-647

1 . 2

JCR@2022

1 . 2 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:20

JCR Journal Grade:3

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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