Asymptotic decay of solutions to 3D MHD equations

作者：Wang, Yinxia^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2016, 132: 115-125.

DOI：10.1016/j.na.2015.11.002

• MHD equations
• Initial value problem
• Asymptotic behavior
• Stability

In the very recent work Wang and Wang (2014) proved that the initial value problem for the three dimension incompressible MHD equations has a global solutions (u, B) is an element of C([0, infinity); chi(-1)), provided that the norms of the initial data are bounded exactly by the minimal value of the viscosity coefficients. In this paper, we prove that global solutions u, B that was obtained in Wang and Wang (2014) is asymptotic to zero in sense of the norm of the space chi(-1) as time goes to infinity. Moreover, stability of global solutions is also discussed.

• 出版日期2016-2