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On the differential system govering flows in magnetic field with data in L p

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  • Fengxin Chen
  • Ping Wang
  • Chaoshun Qu

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 L p , we obtained the local in time existence and uniqueness ofweak solutions of the system subject to appropriate initial and boundary conditions.

Suggested Citation

  • Fengxin Chen & Ping Wang & Chaoshun Qu, 1998. "On the differential system govering flows in magnetic field with data in L p," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 21, pages 1-7, January.
    • Handle: RePEc:hin:jijmms:917249
    DOI: 10.1155/S0161171298000416
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