Least action principle and the incompressible Euler equations with variable density

DOI10.1090/S0002-9947-2010-05206-7zbMath1221.35289MaRDI QIDQ3003615

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Publication date: 27 May 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

consistencyvariational formulationrelaxed problemnonhomogeneous incompressible Euler equations

Mathematics Subject Classification ID

Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Related Items (1)

On the regularity of the pressure field of relaxed solutions to Euler equations with variable density

Cites Work

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• On the Euler equations for nonhomogeneous fluids. II
• Attainable diffeomorphisms
• Generalized fluid flows, their approximation and applications
• The inviscid limit for density-dependent incompressible fluids
• On the regularity of the pressure field of Brenier's weak solutions to incompressible Euler equations
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Groups of diffeomorphisms and the motion of an incompressible fluid
• The Least Action Principle and the Related Concept of Generalized Flows for Incompressible Perfect Fluids
• Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations

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