Analyticité locale pour les solutions de l'équation d'Euler. (Local analyticity for the solutions of Euler's equation)

DOI10.1007/BF00281084zbMath0635.35013MaRDI QIDQ1097399

Daniel Le Bail

Publication date: 1986

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

Euler equationsanalytical boundarylocal analyticitynon viscous incompressible fluids

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Partial differential equations of mathematical physics and other areas of application (35Q99) Incompressible inviscid fluids (76B99) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (3)

Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models ⋮ On the Lagrangian and Eulerian analyticity for the Euler equations ⋮ On the radius of analyticity of solutions to the three-dimensional Euler equations

Cites Work

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• Propagation de l'analyticité des solutions de systèmes hyperboliques non-linéaires
• Propagation de l'analyticité locale pour les solutions de l'équation d'Euler. (Propagation of local analyticity for the solutions of the Euler equation)
• On the Euler equations of incompressible perfect fluids
• Remarks on the Euler equation
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• On the analyticity of the solutions of linear elliptic systems of partial differential equations
• Nonlinear hyperbolic equations

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