Evolution of singularities, generalized Liapunov function and generalized integral for an ideal incompressible fluid

DOI10.1353/ajm.1997.0019zbMath0874.93055OpenAlexW2014479906MaRDI QIDQ4342945

Alexander I. Shnirelman

Publication date: 10 November 1997

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm119.3.html

zbMATH Keywords

Besov spacevorticityintegralstorusparadifferential calculusmicrolocal analysispropagation of singularitiesgeneralized Lyapunov functionlinearization formulaideal incompressibe fluid

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Vortex flows for incompressible inviscid fluids (76B47) Lyapunov and storage functions (93D30)

Related Items (7)

Chaos in the incompressible Euler equation on manifolds of high dimension ⋮ Propagation of singularities by Osgood vector fields and for 2D inviscid incompressible fluids ⋮ Geometric hydrodynamics in open problems ⋮ Singularity formation in the incompressible Euler equation in finite and infinite time ⋮ Global, local and dense non-mixing of the 3D Euler equation ⋮ KAM theory and the 3D Euler equation ⋮ Diffeomorphism groups of compact manifolds

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