Cohomologically rigid vector fields : the Katok conjecture in dimension 3
Alejandro Kocsard (2009)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Alejandro Kocsard (2009)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Gliklikh, Yuri E. (2006)
Abstract and Applied Analysis
Similarity:
Alexander Shnirelman (1999-2000)
Séminaire Équations aux dérivées partielles
Similarity:
M. Cantor (1979)
Compositio Mathematica
Similarity:
Cristescu, I. A. (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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 [].
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...