三维全空间等熵Euler方程的松弛近似

Relaxation approximation of the 3 dimensional isentropic Euler equation

研究了等熵Euler方程的零松弛时间极限,对于好的初值,借助Maxwell迭代和改变能量方法,证明了当松弛时间极限趋向于零时,Euler方程的解到多孔介质方程的解的收敛性,并给出了收敛的速度.

The isentropic Euler equation with short momentum relaxation time is concerned. The convergence for the solutions of the Euler equation towards the solutions of the porous medium equation is proved when the relaxation time tends to zero due to the Maxell iteration and energy methods. The convergence rate is also given.