Existence of weak solutions of 2-D Euler equations with initial vorticity \(\omega_ 0\in L(\log^ +L)^ \alpha\) \((\alpha>0)\)

DOI10.1007/BF02007731zbMath0873.35069OpenAlexW1974979679MaRDI QIDQ2565201

Quan-sen Jiu

Publication date: 26 October 1997

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02007731

zbMATH Keywords

Navier-Stokes equationsglobal solutionOrlicz spacevanishing viscosity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47)

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A computer-assisted proof of the existence of traveling wave solutions to the scalar Euler equations with artificial viscosity

Cites Work

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• Weak solutions of 2-D Euler equations with initial vorticity in \(L(\log L\))
• On \(L^ 1\)-vorticity for 2-D incompressible flow
• Existence de Nappes de Tourbillon en Dimension Deux
• Hardy Spaces and the Two-Dimensional Euler Equations with Nonnegative Vorticity
• Concentrations in regularizations for 2‐D incompressible flow