A Concise Presentation of the Euler Equations of Hydrodynamics

DOI10.1080/03605308408820341zbMath0548.76005OpenAlexW2042303157MaRDI QIDQ3340346

David G. Ebin

Publication date: 1984

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308408820341

zbMATH Keywords

initial value problemEuler's equationsinviscid incompressible fluid flow

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Foundations of fluid mechanics (76A02)

Related Items (15)

Global well-posedness of helicoidal Euler equations ⋮ Local well-posedness of the EPDiff equation: a survey ⋮ Kato's perturbation theory and well-posedness for the Euler equations in bounded domains ⋮ A note on the stability of geodesics on diffeomorphism groups with one-side invariant metric ⋮ Geometric investigations of a vorticity model equation ⋮ Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations ⋮ The equations of motion of a perfect fluid with free boundary are not well posed. ⋮ Geodesics on the symplectomorphism group ⋮ Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two dimensional fluids ⋮ Continuity of the solution map of the Euler equations in Hölder spaces and weak norm inflation in Besov spaces ⋮ Data dependence in the mathematical theory of compressible inviscid fluids ⋮ A well-posedness theorem for non-homogeneous inviscid fluids via a perturbation theorem ⋮ Uniqueness results for the generators of the two-dimensional Euler and Navier-Stokes flows ⋮ A continuation principle for the 3-D Euler equations for incompressible fluids in a bounded domain ⋮ Riemannian geometry of the contactomorphism group

Cites Work

• Unnamed Item
• Un théorème sur l'existence du mouvement plan d'un fluide parfait, homogene, incompressible, pendant un temps infiniment long
• On classical solutions of the two-dimensional non-stationary Euler equation
• Groups of diffeomorphisms and the motion of an incompressible fluid

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