Global well-posedness to three-dimensional full compressible magnetohydrodynamic equations with vacuum
Global well-posedness to three-dimensional full compressible magnetohydrodynamic equations with vacuum
复制标题
三维全可压缩真空磁流体动力学方程的全局适定性
DOI：
10.1007/s00033-020-01408-3
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发表时间：
2020-02
期刊：
影响因子：
--
通讯作者：
Xin Zhong
中科院分区：
文献类型：
--
作者：
Yang Liu;Xin Zhong
This paper studies the Cauchy problem for three-dimensional viscous, compressible, and heat conducting magnetohydrodynamic equations with vacuum as far field density. We prove the global existence and uniqueness of strong solutions provided that the quantityis suitably small and the viscosity coefficients satisfy. Here, the initial velocity and initial temperature could be large. The assumption on the initial density does not exclude that the initial density may vanish in a subset ofand that it can be of a nontrivially compact support. Our result is an extension of the works of Fan and Yu (Nonlinear Anal Real World Appl 10:392–409, 2009) and Li et al. (SIAM J Math Anal 45:1356–1387, 2013), where the local strong solutions in three dimensions and the global strong solutions for isentropic case were obtained, respectively. The analysis is based on some new mathematical techniques and some new useful energy estimates. This paper can be viewed as the first result concerning the global existence of strong solutions with vacuum at infinity in some classes of large data in higher dimension.
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影响因子：
1.1
作者：
X. Zhong
通讯作者：
X. Zhong
DOI：
10.14989/doctor.k3193
发表时间：
1984-09
期刊：
--
影响因子：
--
作者：
S. Kawashima
通讯作者：
S. Kawashima
影响因子：
1.7
作者：
E. Feireisl;Yang Li
通讯作者：
E. Feireisl;Yang Li
DOI：
10.1007/978-3-0346-0537-3
发表时间：
2011-12
期刊：
--
影响因子：
--
作者：
V. Volpert
通讯作者：
V. Volpert
影响因子：
2.4
作者：
Hoff, D;Smoller, J
通讯作者：
Smoller, J