Vanishing viscosity in the plane for vorticity in borderline spaces of Besov type

DOI10.1016/j.jde.2006.12.022zbMath1185.35186OpenAlexW2170653223MaRDI QIDQ878549

Elaine Cozzi, James P. Kelliher

Publication date: 26 April 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.12.022

zbMATH Keywords

Euler equationsvanishing viscosityfluid mechanics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items

The aggregation equation with Newtonian potential: the vanishing viscosity limit ⋮ Existence of solutions to fluid equations in Hölder and uniformly local Sobolev spaces ⋮ The axisymmetric Euler equations with vorticity in borderline spaces of Besov type ⋮ Well-posedness of the 2D Euler equations when velocity grows at infinity ⋮ Expanding domain limit for incompressible fluids in the plane ⋮ On the inviscid limit of the 2D Navier-Stokes equations with vorticity belonging to BMO-type spaces

Cites Work

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• Incompressible viscous flows in borderline Besov spaces
• Hydrodynamics in Besov spaces
• The inviscid limit for two-dimensional incompressible fluids with unbounded vorticity
• Uniqueness theorem for the basic nonstationary problem in the dynamics on an ideal incompressible fluid
• Entropy Numbers and Approximation Numbers in Function Spaces, II
• A remark on the inviscid limit for two-dimensional incompressible fluids
• Incompressible flows of an ideal fluid with vorticity in borderline spaces of besov type1

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