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

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  • Peter Bates
  • Fengxin Chen
  • Ping Wang

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.

Suggested Citation

  • Peter Bates & Fengxin Chen & Ping Wang, 1999. "Existence of global solution for a differential system with initial data in L p," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 22, pages 1-12, January.
    • Handle: RePEc:hin:jijmms:178270
    DOI: 10.1155/S0161171299228232
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