Multi-component Allen-Cahn equation for elastically stressed solids
Date
2005-08-15
Authors
Blesgen, Thomas
Weikard, Ulrich
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
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.
Description
Keywords
Linear elasticity, Modeling and simulation of multiscale problems
Citation
Blesgen, T., & Weikard, U. (2005). Multi-component Allen-Cahn equation for elastically stressed solids. <i>Electronic Journal of Differential Equations, 2005</i>(89), pp. 1-17.
Rights
Attribution 4.0 International