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Remarks on the solution map for Yudovich solutions of the Euler equations

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 نشر من قبل Huy Nguyen Q
 تاريخ النشر 2021
  مجال البحث فيزياء
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 تأليف Huy Q. Nguyen




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Consider Yudovich solutions to the incompressible Euler equations with bounded initial vorticity in bounded planar domains or in $mathbb{R}^2$. We present a purely Lagrangian proof that the solution map is strongly continuous in $L^p$ for all $pin [1, infty)$ and is weakly-$*$ continuous in $L^infty$.



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