The axisymmetric Euler equations with vorticity in borderline spaces of Besov type

DOI10.1007/s10884-014-9400-3zbMath1350.35142OpenAlexW2003423971MaRDI QIDQ487956

Elaine Cozzi

Publication date: 23 January 2015

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

Full work available at URL: https://doi.org/10.1007/s10884-014-9400-3

zbMATH Keywords

axisymmetric flowsfluid mechanicsinviscid limit

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Cites Work

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• Vanishing viscosity in the plane for vorticity in borderline spaces of Besov type
• Regularity results of axisymmetric solutions for the Navier-Stokes system.
• Theory of function spaces
• Transport equations due to the non-Lipschitzian vector fields and fluid mechanics
• Note on global existence for axially symmetric solutions of the Euler system
• The inviscid limit for two-dimensional incompressible fluids with unbounded vorticity
• On the global well-posedness for the axisymmetric Euler equations
• Axisymmetric incompressible flows with bounded vorticity
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Incompressible flows of an ideal fluid with vorticity in borderline spaces of besov type1

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