Multi-component Allen-Cahn equation for elastically stressed solids

Autor: Thomas Blesgen, Ulrich Weikard
Jazyk: angličtina
Rok vydání: 2005
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2005, Iss 89, Pp 1-17 (2005)
Druh dokumentu: article
ISSN: 1072-6691
Popis: The vector-valued Allen-Cahn equations are combined with elasticity where a linear stress-strain relationship is assumed. A short physical derivation of the generalised model is given and global existence and uniqueness of the solution are shown under suitable growth conditions on the nonlinearity.
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