Expanding domain limit for incompressible fluids in the plane

DOI10.1007/s00220-007-0388-yzbMath1152.76017OpenAlexW1976766208MaRDI QIDQ956631

James P. Kelliher

Publication date: 25 November 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-007-0388-y

zbMATH Keywords

convergenceNavier-Stokes equationsEuler equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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Cites Work

• Vanishing viscosity in the plane for vorticity in borderline spaces of Besov type
• 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
• Two-dimensional incompressible viscous flow around a small obstacle
• Vorticity and Incompressible Flow
• Elliptic Partial Differential Equations of Second Order
• Incompressible flows of an ideal fluid with vorticity in borderline spaces of besov type1
• Two Dimensional Incompressible Ideal Flow Around a Small Obstacle
• Navier--Stokes Equations with Navier Boundary Conditions for a Bounded Domain in the Plane
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