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Concentration-cancellation and Hardy spaces

Part of: Incompressible viscous fluids

Published online by Cambridge University Press:  09 April 2009

Italo Vecchi
Italo Vecchi
Affiliation:
Seminar für Angewandte Mathematik, ETH-Zentrum, CH-8092, Zürich, Switzerland
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Abstract

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Let υ∈ be a sequence of DiPema-Majda approximate solutions to the 2-d incompressible Euler equations. We prove that if the vorticity sequence is weakly compact in the Hardy space H1 (R2) then a subsequence of υ∈ converges strongly in the energy norm to a solution of the Euler equations.

MSC classification

Secondary: 76D05: Navier-Stokes equations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 58 , Issue 1 , February 1995 , pp. 94 - 99
Copyright
Copyright © Australian Mathematical Society 1995

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