Differentiability, rigidity and Godbillon-Vey classes for Anosov flows
S. Hurder, Anatoly Katok (1990)
Publications Mathématiques de l'IHÉS
Similarity:
S. Hurder, Anatoly Katok (1990)
Publications Mathématiques de l'IHÉS
Similarity:
Mark Pollicott (1991-1992)
Séminaire de théorie spectrale et géométrie
Similarity:
Mark Pollicott (1991)
Séminaire de théorie spectrale et géométrie
Similarity:
Alexander Shnirelman (1999-2000)
Séminaire Équations aux dérivées partielles
Similarity:
Boris Khesin (2002-2003)
Séminaire Équations aux dérivées partielles
Similarity:
We survey two problems illustrating geometric-topological and Hamiltonian methods in fluid mechanics: energy relaxation of a magnetic field and conservation laws for ideal fluid motion. More details and results, as well as a guide to the literature on these topics can be found in [].
Alejandro Kocsard (2009)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Alexander Shnirelman (1999)
Journées équations aux dérivées partielles
Similarity:
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...