YOUNG MEASURES IN A NONLOCAL PHASE-TRANSITION PROBLEM

Authors
REN XF WINTER M
Citation
Xf. Ren et M. Winter, YOUNG MEASURES IN A NONLOCAL PHASE-TRANSITION PROBLEM, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 127, 1997, pp. 615-637
Citations number
22
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
127
Year of publication
1997
Part
3
Pages
615 - 637
Database
ISI
SICI code
0308-2105(1997)127:<615:YMIANP>2.0.ZU;2-7
Abstract
A nonlocal variational problem modelling phase transitions is studied in the framework of Young measures. The existence of global minimisers among functions viith internal layers on an infinite tube is proved b y combining a weak convergence result for Young measures and the princ iple of concentration-compactness. The regularity of such global minim isers is discussed, and the nonlocal variational problem is also consi dered on asymptotic tubes.