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The Weak solutions and reproductive property for a system of evolution equations of magnetohydrodynamic type

  • Rojas Medar, Marko A. [1] ; Boldrini, José Luiz [1]
    1. [1] Universidade Estadual de Campinas

      Universidade Estadual de Campinas

      Brasil

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 13, Nº. 2, 1994, págs. 85-97
  • Idioma: inglés
  • DOI: 10.22199/S07160917.1994.0002.00002
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  • Resumen
    • By using the Galerkin method, we prove the existence of weak solutions for a system of equations of magnetohydrodynamic type. In the two-dimensional case, we prove that the weak solution is unique. We also prove the reproductive property and comment about the regularity of periodic solutions.

  • Referencias bibliográficas
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    • [3] Boldrini, J. L.; Rojas-Medar, M.A.: On a system of evolution equations of magnetohydrodynamic type, to appear in Mat. Contemp.
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    • [9] Pikelner, S. B.: Grundlagen der Kosmischen elektrodynamik, Moscou, 1966.
    • [10] Rojas-Medar, M. A.; Boldrini, J.L.: Global strong solutions of the equations of magnetohydrodynamic type, Research Report 1993/53, IMECC-UNICAMP,...
    • [11] Schlüter, A.: Dynamik des plasmas, I and II, Z. Naturforsch. 5a, 72-78, 1950; 6a, 73-79, 1951.
    • [12] Temam, R.: Navier-Stokes Equations, North-Holland, Amsterdam, Rev. Edit., 1979.

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