不可压磁流体力学方程的整体解与衰减估计

Global Solution and Attenuation Estimation of Incompressible Magnetohydrodynamic Equations

研究高维不可压磁流体力学方程组的柯西问题,采用能量估计法得到了整体解的存在性及衰减率情况。通过能量估计方法和Sobolev及插值不等式方法证明。

The Cauchy problem of high-dimensional incompressible magnetohydrodynamics equations is studied.The existence and decay rate of the global solution are obtained by using the energy estimation method.It is proved by energy estimation method,Sobolev and interpolation inequality method.