Multi-component Allen-Cahn equation for elastically stressed solids

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dc.contributor.authorBlesgen, Thomas
dc.contributor.authorWeikard, Ulrich
dc.date.accessioned2021-06-01T14:31:34Z
dc.date.available2021-06-01T14:31:34Z
dc.date.issued2005-08-15
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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBlesgen, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13690
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectLinear elasticity
dc.subjectModeling and simulation of multiscale problems
dc.titleMulti-component Allen-Cahn equation for elastically stressed solidsen_US
dc.typeArticle

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