Steady vortex pairs in two-phase shear flow of an ideal fluid

DOI10.1016/j.jmaa.2005.11.041zbMath1084.76016OpenAlexW2012345949MaRDI QIDQ819992

Dirar Rebah

Publication date: 6 April 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.11.041

zbMATH Keywords

existencevariational principle

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Variational methods applied to problems in fluid mechanics (76M30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (2)

A constrained variational problem for an existence theorem of a steady vortex pair in two-phase shear flow ⋮ Steady vortex rings in a uniform flow and rearrangements of a function

Cites Work

• Rearrangements of functions, maximization of convex functionals, and vortex rings
• On steady vortex flow in two dimensions. I
• On steady vortex flow in two dimensios, II
• Steady symmetric vortex pairs and rearrangements
• Steady planar vortex pairs in an ideal fluid
• A constrained variational problem for steady vortices in a shear flow
• Existence of steady symmetric vortex pairs on a planar domain with an obstacle
• Existence and stability of stationary vortices in a uniform shear flow
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