Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes

• S Albeverio ^[1] ; Ya Belopolskaya ^[2]
  1. [1] Universität Bonn Institut für Angewandte Mathematik
  2. [2] St.Petersburg State University for Architecture and Civil Engineering
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 12, Nº. 2, 2010, págs. 77-96
• Idioma: inglés
• DOI: 10.4067/S0719-06462010000200006
• Enlaces
  • Texto completo
• Resumen
  • español

    Nosotros reducimos la construcción de una solución débil de un problema de Cauchy para el sistema de Navier-Stokes para la construcción de la resolución de un problema estocástico. Bajo condiciones convenientes resolvimos el problema estocástico y probamos que simultáneamente obtenemos una solución débil (generalizada) para el problema de Cauchy del sistema de Navier-Stokes.

  • English

    We reduce the construction of a weak solution of the Cauchy problem for the Navier-Stokes system to the construction of a stochastic problem solution. Under suitable conditions we solve the stochastic problem and prove that simultaneously we obtain a weak (generalized) solution to the Cauchy problem for the Navier-Stokes system.

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