On some questions of the weak solutions of evolution equations for magnetohydrodynamic type

• Damázio, Pedro D. ^[1] ; Rojas-Medar, Marko A.
  1. [1] Universidade Estadual de Campinas

     Universidade Estadual de Campinas

     Brasil

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 16, Nº. 2, 1997, págs. 83-97
• Idioma: inglés
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• Resumen

  • We prove that the weak solution of the equations for magneto-hydrodynamic type posses fractional derivatives in time of any order less that 1/2 if n = 2 and that it is true conditionally in the three and four-dimensional cases. Also, we give some results of uniqueness of weak solutions similar to the Navier-Stokes equations for n > 3. Thus, we reach the same level of knoweledge as the one in the case of the classical Navier-Stokes.