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| Title: | Young Measures in a Nonlocal Phase Transition Problem |
| Authors: | Winter, M
Ren, X |
| Keywords: | Calculus of variations, nonlocal variational problem
Young measure, martensitic phase transformation |
| Publication Date: | 1997 |
| Publisher: | Cambridge University Press |
| Citation: | Proc Roy Soc Edinburgh Sect A 127 (1997), 615-637 |
| Abstract: | A nonlocal variational problem modelling phase transitions is studied
in the framework of Young measures. The existence of global minimisers
among functions
with internal layers on an infinite tube is proved by combining
a weak convergence result for Young measures and the principle of
concentration-compactness. The regularity of such global minimisers is
discussed, and the nonlocal variational problem is also considered on
asymptotic tubes. |
| URI: | http://bura.brunel.ac.uk/handle/2438/513 |
| Appears in Collections: | Mathematics
School of Information Systems, Computing and Mathematics Research Papers
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