具有零热传导和真空的非正压磁流体力学方程的L∞连续性
L∞ Continuation for Non-barotropic Magnetohydrodynamic Equations with Zero Heat Conduction and Vacuum
本文研究无热传导非正压可压缩磁流体力学方程在二维有界区域上的连续性原理.证明了如果密度和压强有上界,则具有全局强解.特别地,该准则与磁场无关,而与无热传导非正压可压缩纳维—斯托克斯方程的结果相同.
In this paper, we present a continuation principle to the two-dimensional (2D for short) non-barotropic compressible magnetohydrodynamic equations without heat conductivity in a bounded domain. We show that the strong solution exists globally if the density and the pressure are bounded from above. In particular, the criterion is independent of the magnetic field and just the same as that of non-barotropic compressible Navier-Stokes equations with zero heat conduction.
非正压可压缩磁流体力学方程 / 零热传导 / 强解 / 初边值问题 / 爆破准则 {{custom_keyword}} /
non-barotropic compressible magnetohydrodynamic equations / zero heat conduction / strong solutions / the initial boundary value problem / blow-up criterion {{custom_keyword}} /
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国家自然科学基金资助项目(11901474,12071359)
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