Young measures in a nonlocal phase transition problem
Young measures in a nonlocal phase transition problem
复制标题
非局部相变问题中的年轻措施
DOI：
10.1017/s0308210500029930
复制
发表时间：
1997
期刊：
影响因子：
--
通讯作者：
M. Winter
中科院分区：
文献类型：
--
作者：
Xiaofeng Ren;M. Winter
在Young测度的框架下研究了相变的非局部变分问题。结合Young测度的一个弱收敛结果和集中紧性原理，证明了无穷管上具有内层的函数的整体极小值的存在性.讨论了这种全局极小解的正则性，并考虑了渐近管上的非局部变分问题。
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.