Global well-posedness for the averaged Euler equations in two dimensions

DOI10.1016/S0167-2789(99)00205-5zbMath0959.76008MaRDI QIDQ1581762

Marcel Oliver, Shinar Kouranbaeva

Publication date: 8 October 2000

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

artificial viscosityuniquenessglobal well-posednessinviscid limitLie algebra of vector fieldsgeodesic equationone-dimensional Fokas-Fuchssteiner-Camassa-Holm equationtwo-dimensional averaged Euler equationsweak form of potential vorticity equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items

Global well-posedness of 2D Euler-α equation in exterior domain ⋮ Some remarks on a certain class of axisymmetric fluids of differential type ⋮ A particle-mesh method for the shallow water equations near geostrophic balance ⋮ Sobolev \(H^1\) geometry of the symplectomorphism group ⋮ Convergence of the 2D Euler-\(\alpha\) to Euler equations in the Dirichlet case: indifference to boundary layers

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