On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity
| Autor: | Lopes, Helena J. Nussenzveig, Seis, Christian, Wiedemann, Emil |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1361-6544/abe51f |
| Popis: | We show strong convergence of the vorticities in the vanishing viscosity limit for the incompressible Navier-Stokes equations on the two-dimensional torus, assuming only that the initial vorticity of the limiting Euler equations is in $L^p$ for some $p>1$. This substantially extends a recent result of Constantin, Drivas and Elgindi, who proved strong convergence in the case $p=\infty$. Our proof, which relies on the classical renormalization theory of DiPerna-Lions, is surprisingly simple. Comment: The statement of the main theorem has been improved |
| Databáze: | arXiv |
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