Existence of global solution for a differential system with initial data in L p

Peter Bates, Fengxin Chen and Ping Wang

International Journal of Mathematics and Mathematical Sciences, 1999, vol. 22, 1-12

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. By establishing a new priori estimates and following Calderón's procedure for the Navier Stokes equations [1], we obtained, for initial data in space L p , the global in time existence and uniqueness of weak solution of the system subject to appropriate conditions.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:178270

DOI: 10.1155/S0161171299228232

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