摘要:

AbstractWe prove a large deviation theorem from the hydrodynamical limit for the empirical measure of Ginzburg‐Landau and zero range processes in infinite volume starting from deterministic initial configurations. In the Ginzburg‐Landau case the main tool is the study of the evolution of theH−1norm and in the zero range case the attractiveness which allows coup

ISSN:0010-3640    

DOI:10.1002/cpa.3160480401

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1995

数据来源: WILEY

摘要:

AbstractWe introduce an approach to certain geometric variational problems based on the use of the algorithmic unrecognizability of then‐dimensional sphere forn≥ 5. Sometimes this approach allows one to prove the existence of infinitely many solutions of a considered variational problem. This recursion‐theoretic approach is applied in this paper to a class of functionals on the space ofC1.1‐smooth hypersurfaces diffeomorphic toSnin Rn+1, wherenis any fixed number ≥ 5. The simplest of these functionalskvis defined by the formulakv(Σn) = (vol(Σn))1/n/r(Σn), wherer(Σn) denotes the radius of injectivity of the normal exponential map for Σn⊂ Rn+l. We prove the existence of an infinite set of distinct locally minimal values ofkvon the space ofC1.1‐smooth topological hyperspheres in Rn+1for anyn≥ 5.The functionalkvnaturally arises when one attempts to generalize knot theory in order to deal with embeddings and isotopies of “thick” circles and, more generally, “thick” spheres into Euclidean spaces. We introduce the notion of knot “with thick rope” types. The theory of knot “with thick rope” types turns out to be quite different from the classical knot theory because of the following result: There exists an infinite set of non‐trivial knot “with thick rope” types in codimension one for eve

ISSN:0010-3640    

DOI:10.1002/cpa.3160480402

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1995

数据来源: WILEY

摘要:

AbstractIn this paper we show that a weak heat flow of harmonic maps from a compact Riemannian manifold (possibly with boundary) into a sphere, satisfying the monotonicity inequality and the energy inequality, is regular off a closed set ofm‐dimensional Hausdorff measure zer

ISSN:0010-3640    

DOI:10.1002/cpa.3160480403

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1995

数据来源: WILEY

摘要:

AbstractWe prove the existence of infinitely many periodic solutions with prescribed period to a class of problems ofn‐body typ

ISSN:0010-3640    

DOI:10.1002/cpa.3160480404

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1995

数据来源: WILEY