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arxiv: 1504.01071 · v1 · pith:JJHKABEInew · submitted 2015-04-05 · 🧮 math.AP

Convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible magnetohydrodynamic equations in a bounded domain

classification 🧮 math.AP
keywords compressiblefullnavier-stokes-maxwellsystemboundedconvergencedomainequations
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In this paper we establish the uniform estimates of strong solutions with respect to the Mach number and the dielectric constant to the full compressible Navier-Stokes-Maxwell system in a bounded domain. Based on these uniform estimates, we obtain the convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible magnetohydrodynamic equations for well-prepared data.

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