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dc.contributor.authorBlesgen, Thomas ( Orcid Icon 0000-0003-4765-926X )
dc.contributor.authorWeikard, Ulrich ( )
dc.date.accessioned2021-06-01T14:31:34Z
dc.date.available2021-06-01T14:31:34Z
dc.date.issued2005-08-15
dc.identifier.citationBlesgen, 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.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/13690
dc.description.abstractThe 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.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University-San Marcos, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectLinear elasticityen_US
dc.subjectModeling and simulation of multiscale problemsen_US
dc.titleMulti-component Allen-Cahn equation for elastically stressed solidsen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.description.departmentMathematics


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