THE INVISCID AND NON-RESISTIVE LIMIT IN THE CAUCHY PROBLEM FOR 3-D NONHOMOGENEOUS INCOMPRESSIBLE MAGNETO-HYDRODYNAMICS  

作　　者：张剑文 

机构地区：[1]School of Mathematical Sciences Xiamen University

出　　处：《Acta Mathematica Scientia》2011年第3期882-896,共15页数学物理学报（B辑英文版）

基　　金：partly supported by NSFC(10801111;10971171);the Natural Science Foundation of Fujian Province of China(2010J05011);the Fundamental Research Funds for the Central Universities(2010121006)

摘　　要：In this paper,the inviscid and non-resistive limit is justified for the local-in-time solutions to the equations of nonhomogeneous incompressible magneto-hydrodynamics （MHD）in R3.We prove that as the viscosity and resistivity go to zero,the solution of the Cauchy problem for the nonhomogeneous incompressible MHD system converges to the solution of the ideal MHD system.The convergence rate is also obtained simultaneously.In this paper,the inviscid and non-resistive limit is justified for the local-in-time solutions to the equations of nonhomogeneous incompressible magneto-hydrodynamics （MHD）in R3.We prove that as the viscosity and resistivity go to zero,the solution of the Cauchy problem for the nonhomogeneous incompressible MHD system converges to the solution of the ideal MHD system.The convergence rate is also obtained simultaneously.

关 键 词：3-D nonhomogeneous incompressible MHD ideal MHD inviscid and non-resistive limit local-in-time solution convergence rate 

分 类 号：O361.3[理学—流体力学]