On the -instability of fluid flows
Alexander Shnirelman (1999-2000)
Séminaire Équations aux dérivées partielles
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Alexander Shnirelman (1999-2000)
Séminaire Équations aux dérivées partielles
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Kamber, Franz W., Michor, Peter W. (2000)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Lim, Sin Liang, Sagar, B.S.Daya (2008)
Discrete Dynamics in Nature and Society
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Mark Pollicott (1991)
Séminaire de théorie spectrale et géométrie
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Alejandro Kocsard (2009)
Annales de l'I.H.P. Analyse non linéaire
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Miroslav Krutina (1988)
Commentationes Mathematicae Universitatis Carolinae
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Alexander Shnirelman (1999)
Journées équations aux dérivées partielles
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In the existing stability theory of steady flows of an ideal incompressible fluid, formulated by V. Arnold, the stability is understood as a stability with respect to perturbations with small in vorticity. Nothing has been known about the stability under perturbation with small energy, without any restrictions on vorticity; it was clear that existing methods do not work for this (the most physically reasonable) class of perturbations. We prove that in fact, every nontrivial steady...