On global solutions and asymptotic behavior of planar magnetohydrodynamics with large data
On global solutions and asymptotic behavior of planar magnetohydrodynamics with large data
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DOI：
10.1090/qam/1413
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发表时间：
2015-09
影响因子：
0.8
通讯作者：
Yuxi Hu
中科院分区：
文献类型：
--
作者：
Yuxi Hu
。本文研究平面磁流体动力可压缩流的初边值问题。通过假设绝热常数γ足够接近于1，我们证明了当黏度、导热系数和扩散系数均为常数时，具有大初始数据的全局强解的存在性和唯一性。此外，还研究了解的渐近性质。
. In this paper we consider an initial boundary value problem for planar magnetohydrodynamic compressible flows. By assuming that the adiabatic constant γ is sufficiently close to 1, we prove the existence and uniqueness of global strong solutions with large initial data when all the viscosity, heat conductivity, and diffusivity coefficients are constant. Moreover, the asymptotic behavior of solutions is also investigated.