四参数的MHD方程组

THE MHD EQUATIONS OF FOUR PARAMETERS

四参数的ＭＨＤ方程组林正国（华东理工大学理论物理所，上海２００２３７）ＴＨＥＭＨＤＥＱＵＡＴＩＯＮＳＯＦＦＯＵＲＰＡＲＡＭＥＴＥＲＳ￥ＬＩＮＺＨＥＮＧＧＵＯ（ＩｎｓｔｉｔｕｔｅｏｆＴｈｅｏｒｅｔｉｃａｌＰｈｙｓｉｃｓ，ＥａｓｔＣｈｉｎａＵｎｉｖｅｒｓ...

In this paper, introducing the variation with weight, making use of the special structure concerning the disspation and double-rotation operators of the MHD equations, we set up the uniform prior estimation, obtain the results as the four parameters Re, Rm (Reynolds number and magnetic Reynolds number)→∞, and prove the existence and unique theorem of the singular limit solution to the Cauchy problem.