Self-similar solutions in weak Lp-spaces on the Navier-Stokes equations

• Autores: O. A. Barraza
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 12, Nº 2, 1996, págs. 411-440
• Idioma: inglés
• DOI: 10.4171/rmi/202
• Títulos paralelos:
  • Soluciones autosemejantes en espacios Lp débiles de las ecuaciones de Navier-Stokes.
• Enlaces
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• Resumen

  • The most important result stated in this paper is a theorem on the existence of global solutions for the Navier-Stokes equations in Rn when the initial velocity belongs to the space weak Ln(Rn) with a sufficiently small norm. Furthermore, this fact leads us to obtain self-similar solutions if the initial velocity is, besides, an homogeneous function of degree -1. Partial uniqueness is also discussed