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Stochastic power law fluids: Existence and uniqueness of weak solutions

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 نشر من قبل Yutaka Terasawa
 تاريخ النشر 2010
  مجال البحث
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We consider a stochastic partial differential equation (SPDE) which describes the velocity field of a viscous, incompressible non-Newtonian fluid subject to a random force. Here the extra stress tensor of the fluid is given by a polynomial of degree $p-1$ of the rate of strain tensor, while the colored noise is considered as a random force. We investigate the existence and the uniqueness of weak solutions to this SPDE.



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