THE GLOBAL WELL-POSEDNESS OF SOLUTIONS TO COMPRESSIBLE ISENTROPIC TWO-FLUID MAGNETOHYDRODYNAMICS IN A STRIP DOMAIN  

作　　者：Zefu FENG Jing JIA 冯泽夫;贾净(School of Mathematical Sciences,Chongqing Normal University,Chongqing,401331,China)

机构地区：[1]School of Mathematical Sciences,Chongqing Normal University,Chongqing,401331,China

出　　处：《Acta Mathematica Scientia》2024年第5期1997-2018,共22页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(12101095);the Natural Science Foundation of Chongqing(CSTB2022NSCQ-MSX0949,2022NSCQ-MSX2878,CSTC2021jcyj-msxmX0224);the Science and Technology Research Program of Chongqing Municipal Education Commission(KJQN202100517,KJQN202300542,KJQN202100511);the Research Project of Chongqing Education Commission(CXQT21014);the grant of Chongqing Young Experts’Workshop.

摘　　要：In this paper,we consider a model of compressible isentropic two-fluid magneto-hydrodynamics without resistivity in a strip domain in three dimensional space.By exploiting the two-tier energy method developed in[Anal PDE,2013,6:1429–1533],we prove the global well-posedness of the governing model around a uniform magnetic field which is non-parallel to the horizontal boundary.Moreover,we show that the solution converges to the steady state at an almost exponential rate as time goes to infinity.Compared to the work of Tan and Wang[SIAM J Math Anal,2018,50:1432–1470],we need to overcome the difficulties caused by particles.

关 键 词：two-fluid magnetohydrodynamics global well-posedness compressiblility 

分 类 号：O361.3[理学—流体力学] O175[理学—力学]