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On well-posedness of parabolic equations of Navier-Stokes type with BMO^{-1}(R^n) data

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 نشر من قبل Pascal Auscher
 تاريخ النشر 2014
  مجال البحث
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We develop a strategy making extensive use of tent spaces to study parabolic equa-tions with quadratic nonlinearities as for the Navier-Stokes system. We begin with a new proof of the well-known result of Koch and Tataru on the well-posedness of Navier-Stokes equations in R^n with small initial data in BMO^{-1}(R^n). We then study another model where neither pointwise kernel bounds nor self-adjointness are available.



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