International Journal of Mathematics and Mathematical Sciences 
Volume 21 (1998), Issue 2, Pages 299-305
doi:10.1155/S0161171298000416

On the differential system govering flows in magnetic field with data in Lp

Fengxin Chen,1 Ping Wang,2 and Chaoshun Qu3

 1Department of Mathematics, Brigham Young University, Provo 84602, Utah, USA
2Department of Mathematics, Penn State University, Schuylkill Haven 17972, PA, USA
3Department of Mathematics, Yunnan University, China
Received 25 March 1996; Revised 13 May 1996

Abstract

In this paper we study the system governing flows in the magnetic field within the earth. The system is similar to the magnetohydrodynamic (MHD) equations. For initial data in space Lp, we obtained the local in time existence and uniqueness ofweak solutions of the system subject to appropriate initial and boundary conditions.