Vorticity measures and the inviscid limit

DOI10.1007/s00205-019-01398-1zbMath1428.35352arXiv1809.03661OpenAlexW3098237517WikidataQ127783556 ScholiaQ127783556MaRDI QIDQ2322727

Vlad C. Vicol, Peter Constantin, Milton da Costa Lopes Filho, Helena J. Nussenzveig Lopes

Publication date: 5 September 2019

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03661

zbMATH Keywords

Navier-Stokes equationsEuler equationsvanishing viscosity limitLeray-Hopf weak solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Strong solutions to PDEs (35D35)

Related Items

On the Euler\(+\)Prandtl expansion for the Navier-Stokes equations ⋮ The inviscid limit for the Navier-Stokes equations with data analytic only near the boundary ⋮ The strong vanishing viscosity limit with Dirichlet boundary conditions ⋮ Validity of steady Prandtl layer expansions ⋮ Inviscid damping and enhanced dissipation of the boundary layer for 2D Navier-Stokes linearized around Couette flow in a channel ⋮ The Three-Dimensional Inviscid Limit Problem with Data Analytic Near the Boundary ⋮ Boundary conditions and polymeric drag reduction for the Navier-Stokes equations ⋮ A Kato-type criterion for vanishing viscosity near Onsager's critical regularity

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