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A weighted setting for the stationary Navier Stokes equations under singular forcing

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 نشر من قبل Abner Salgado
 تاريخ النشر 2019
  مجال البحث
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In two dimensions, we show existence of solutions to the stationary Navier Stokes equations on weighted spaces $mathbf{H}^1_0(omega,Omega) times L^2(omega,Omega)$, where the weight belongs to the Muckenhoupt class $A_2$. We show how this theory can be applied to obtain a priori error estimates for approximations of the solution to the Navier Stokes problem with singular sources.



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