Motivated by properties of ''frozen topological invariants'' in ideal plasmas theory, we consider the problem of an intrinsic characterization of the weak closure in H-0(1)(Omega) of all functions psi(0) circle phi, with phi : Omega --> Omega a diffeomorphism. We show that one may associate with psi(0) a class W-weak (psi(0)) Of functions which captures robust topological properties, of the level sets of {psi(0)} and, moreover, is closed under weak limits.
Topological decomposition of Sobolev functions and the localization of energy in ideal plasmas / Laurence, Peter Michael; E., Stredulinsky. - In: COMPTES RENDUS DE L'ACADÉMIE DES SCIENCES. SÉRIE 1, MATHÉMATIQUE. - ISSN 0764-4442. - 324:(1997), pp. 403-408. [10.1016/s0764-4442(97)80076-6]
Topological decomposition of Sobolev functions and the localization of energy in ideal plasmas
LAURENCE, Peter Michael;
1997
Abstract
Motivated by properties of ''frozen topological invariants'' in ideal plasmas theory, we consider the problem of an intrinsic characterization of the weak closure in H-0(1)(Omega) of all functions psi(0) circle phi, with phi : Omega --> Omega a diffeomorphism. We show that one may associate with psi(0) a class W-weak (psi(0)) Of functions which captures robust topological properties, of the level sets of {psi(0)} and, moreover, is closed under weak limits.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
