Multi-component Allen-Cahn equation for elastically stressed solids

dc.contributor.author	Blesgen, Thomas ( 0000-0003-4765-926X )
dc.contributor.author	Weikard, Ulrich ( )
dc.date.accessioned	2021-06-01T14:31:34Z
dc.date.available	2021-06-01T14:31:34Z
dc.date.issued	2005-08-15
dc.identifier.citation	Blesgen, T., & Weikard, U. (2005). Multi-component Allen-Cahn equation for elastically stressed solids. Electronic Journal of Differential Equations, 2005(89), pp. 1-17.	en_US
dc.identifier.issn	1072-6691
dc.identifier.uri	https://digital.library.txstate.edu/handle/10877/13690
dc.description.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.	en_US
dc.format	Text
dc.format.extent	17 pages
dc.format.medium	1 file (.pdf)
dc.language.iso	en	en_US
dc.publisher	Texas State University-San Marcos, Department of Mathematics	en_US
dc.source	Electronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subject	Linear elasticity	en_US
dc.subject	Modeling and simulation of multiscale problems	en_US
dc.title	Multi-component Allen-Cahn equation for elastically stressed solids	en_US
dc.type	publishedVersion
txstate.documenttype	Article
dc.rights.license	This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.description.department	Mathematics