On the low Mach number limit of a two-fluid model with magnetic field and ill-prepared initial data in bounded domain

被引：0
作者：
Yang Li
Pengcheng Mu
机构：
[1] Anhui University,School of Mathematical Sciences
[2] Institute of Applied Physics and Computational Mathematics,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik | 2021年 / 72卷
关键词：
Two-fluid model; Low Mach number limit; Weak solutions; Ill-prepared data; 35Q36; 35D05;
D O I：
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摘要：
In this paper, we consider the motion of two compressible fluid flows under the interaction of magnetic field in bounded domain. With the help of spectral analysis, we prove the low Mach number limit from global weak solutions of the rescaled system to global weak solutions of the limit system, with ill-prepared initial data.
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[1]  
Desjardins B(1999)Incompressible limit for slutions of the isentropic Navier–Stokes equations with Dirichlet boudary conditions J. Math. Pures. Appl. 78 461-471
[2]  
Grenier E(2006)The equations of magnetohydrodynamics: On the interaction between matter and radiation in the evolution of gaseous stars Commun. Math. Phys. 266 595-629
[3]  
Lions PL(2020)Uniform regularity for a two-phase model with magneto field and a related system J. Math. Phys. 61 071508-238
[4]  
Masmoudi N(2010)Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows Arch. Rational Mech. Anal. 197 203-17
[5]  
Documet B(2019)Incompressible inviscid limit of the viscous two-fluid model with general initial data Z. Angew. Math. Phys. 70 1-12
[6]  
Feireisl E(2019)Shock waves and characteristic discontinuities in ideal compressible two-fluid MHD Z. Angew. Math. Phys. 70 1-282
[7]  
Fan J(2019)Global weak solution to the viscous two-fluid model with finite energy J. Math. Pures. Appl. 125 247-2406
[8]  
Nakamura G(2018)Global well-posedness and decay estimates of strong solutions to a two-phase model with magnetic field J. Differ. Equa. 264 2377-3278
[9]  
Tang T(2021)On global solutions to a viscous compressible two-fluid model with unconstrained transition to single-phase flow in three dimensions Calc. Var. Partial Differ. Equa. 60 38-undefined
[10]  
Hu X(2020)Low Mach number limit of compressible two-fluid model Z. Angew. Math. Phys. 71 13-undefined
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