Large time behavior of the compressible magnetohydrodynamic equations with Coulomb force

作者：Tan, Zhong; Tong, Leilei^*; Wang, Yong

来源：Journal of Mathematical Analysis and Applications, 2015, 427(2): 600-617.

DOI：10.1016/j.jmaa.2015.02.077

• MHD equations
• Optimal decay rates
• Energy method

In this paper, we consider the large time behavior of the solutions near a constant equilibrium state to the Cauchy problem for the compressible magnetohydrodynamic equations with Coulomb force in R-3. Under the assumptions that the H-3 norm of the initial data is small, hut its higher order derivatives could be large, we obtain the optimal time decay rates of the solutions and their higher-order spatial derivatives by introducing the negative Sobolev and Besov spaces. As an immediate byproduct, the L-p-L-2 (1 <= p <= 2) type of the decay rates follows without requiring the smallness for L-p norm of initial data.

• 出版日期2015-7-15
• 单位厦门大学