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EXISTENCE OF GLOBAL SOLUTION FOR A DIFFERENTIAL SYSTEM WITH INITIAL DATA IN L^p

摘要


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 Calderon'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.

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