Eigenvalues associated with the vortex patch in 2-D Euler equations

DOI10.1007/s00208-004-0568-4zbMath1058.76012OpenAlexW1999897403MaRDI QIDQ707436

Namkwon Kim

Publication date: 9 February 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-004-0568-4

zbMATH Keywords

double exponential growth bound

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (5)

On an integrable Camassa-Holm type equation with cubic nonlinearity ⋮ The support of the momentum density of the Camassa-Holm equation ⋮ Growth of perimeter for vortex patches in a bulk ⋮ Persistence property and estimate on momentum support for the integrable Degasperis-Procesi equation ⋮ On Singular Vortex Patches, I: Well-posedness Issues

Cites Work

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• The motion of the particles of a two-dimensional ideal incompressible fluid
• Continuous domain dependence of the eigenvalues of the Dirichlet Laplacian and related operators in Hilbert space
• Mathematical theory of incompressible nonviscous fluids
• Elliptic partial differential equations of second order
• Global regularity for vortex patches
• Evolution of a cusp-type singularity in a vortex patch
• Persistance de structures géométriques dans les fluides incompressibles bidimensionnels
• Vorticity and the mathematical theory of incompressible fluid flow
• On Strong Barriers and an Inequality of Hardy for Domains in R ⁿ

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