Some results for the line vortex equation

DOI10.1088/0951-7715/15/6/301zbMath1019.76005OpenAlexW2077048229MaRDI QIDQ4796791

Luigi C. Berselli, Hakima Bessaih

Publication date: 5 March 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/15/6/301

zbMATH Keywords

Sobolev spacesexistencesingularitiesuniquenessEuler equationsideal fluidblow-up estimatescontinuation criterionline vortex equation

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (5)

Mean field limit of interacting filaments and vector valued non-linear PDEs ⋮ On the global evolution of vortex filaments, blobs, and small loops in 3D ideal flows ⋮ Motion of a vortex filament in an external flow ⋮ Mean field limit of interacting filaments for 3D Euler equations ⋮ The evolution of a random vortex filament

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