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Convergence of compressible Navier-Stokes-Maxwell equations to incompressible Navier-Stokes equations 被引量:2

Convergence of compressible Navier-Stokes-Maxwell equations to incompressible Navier-Stokes equations
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摘要 The combined quasi-neutral and non-relativistic limit of compressible Navier-Stokes-Maxwell equations for plasmas is studied.For well-prepared initial data,it is shown that the smooth solution of compressible Navier-Stokes-Maxwell equations converges to the smooth solution of incompressible Navier-Stokes equations by introducing new modulated energy functional. The combined quasi-neutral and non-relativistic limit of compressible Navier-Stokes-Maxwell equations for plasmas is studied. For well-prepared initial data, it is shown that the smooth solution of compressible Navier-Stokes-Maxwell equations converges to the smooth solution of incompressible Navier-Stokes equations by introducing new modulated energy functional.
出处 《Science China Mathematics》 SCIE 2014年第10期2153-2162,共10页 中国科学:数学(英文版)
基金 supported by the Joint Funds of National Natural Science Foundation of China(Grant No.U1204103) China Postdoctoral Science Foundation Funded Project(Grant No.2013M530032) the Science and Technology Research Projects of Education Department of Henan Province(Grant No.13A110731)
关键词 不可压缩NAVIER-STOKES方程 MAXWELL方程组 函数收敛 非相对论 等离子体 极限 Navier-Stokes-Maxwell equations, incompressible Navier-Stokes equations, asymptotic limit, mod-ulated energy function
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