Uniform well-posedness and singular limits of the isentropic Navier–Stokes–Maxwell system in a bounded domain
Uniform well-posedness and singular limits of the isentropic Navier–Stokes–Maxwell system in a bounded domain
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DOI：
10.1007/s00033-014-0484-8
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发表时间：
2015-08
期刊：
影响因子：
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通讯作者：
Jishan Fan;Fucai Li;G. Nakamura
中科院分区：
文献类型：
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作者：
Jishan Fan;Fucai Li;G. Nakamura
本文证明了在有界区域上等熵Navier-Stokes-麦克斯韦方程组的强解的时间整体性和时间一致性，其中m为马赫数，m为介电常数。从而得到了可压缩Navier-Stokes-麦克斯韦方程组到不可压缩Navier-Stokes-麦克斯韦方程组（和固定）、可压缩磁流体动力学方程组（和固定）或不可压缩磁流体动力学方程组（和）的收敛性。
We prove the global-in-time and uniform-in-of strong solutions to the isentropic Navier–Stokes–Maxwell system in a bounded domain, whenis the Mach number, andis the dielectric constant. Consequently, we obtain the convergences of compressible Navier–Stokes–Maxwell system to the incompressible Navier–Stokes–Maxwell system (andfixed), the compressible magnetohydrodynamic equations (fixed and) or the incompressible magnetohydrodynamic equations (and) for well-prepared data.