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• W3135859267 abstract "In this paper we prove the uniform-in-time $L^p$ convergence in the inviscid limit of a family $omega^nu$ of solutions of the $2D$ Navier-Stokes equations towards a renormalized/Lagrangian solution $omega$ of the Euler equations. We also prove that, in the class of solutions with bounded vorticity, it is possible to obtain a rate for the convergence of $omega^nu$ to $omega$ in $L^p$. Finally, we show that solutions of the Euler equations with $L^p$ vorticity, obtained in the vanishing viscosity limit, conserve the kinetic energy. The proofs are given by using both a (stochastic) Lagrangian approach and an Eulerian approach." @default.
• W3135859267 created "2021-03-15" @default.
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• W3135859267 date "2021-03-01" @default.
• W3135859267 modified "2023-09-25" @default.
• W3135859267 title "Strong Convergence of the Vorticity for the 2D Euler Equations in the Inviscid Limit" @default.
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• W3135859267 doi "https://doi.org/10.1007/s00205-021-01612-z" @default.
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