Inviscid Limit of Vorticity Distributions in the Yudovich Class

DOI10.1002/cpa.21940zbMath1506.35138arXiv1909.04651OpenAlexW3088558241MaRDI QIDQ5072035

Peter Constantin, Theodore D. Drivas, Tarek Mohamed Elgindi

Publication date: 25 April 2022

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.04651

zbMATH Keywords

Navier-Stokes equationsEuler equationsvorticesYudovich weak solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Viscous vortex flows (76D17) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Related Items (7)

Remarks on the solution map for Yudovich solutions of the Euler equations ⋮ Propagation of singularities by Osgood vector fields and for 2D inviscid incompressible fluids ⋮ Strong convergence of the vorticity and conservation of the energy for the α-Euler equations ⋮ Vanishing viscosity limits for the free boundary problem of compressible viscoelastic fluids with surface tension ⋮ Singularity formation in the incompressible Euler equation in finite and infinite time ⋮ On maximum enstrophy dissipation in 2D Navier-Stokes flows in the limit of vanishing viscosity ⋮ Optimal stability estimates and a new uniqueness result for advection-diffusion equations

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