Blesgen, ThomasWeikard, Ulrich2021-06-012021-06-012005-08-15Blesgen, T., & Weikard, U. (2005). Multi-component Allen-Cahn equation for elastically stressed solids. <i>Electronic Journal of Differential Equations, 2005</i>(89), pp. 1-17.1072-6691https://hdl.handle.net/10877/13690The 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.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalLinear elasticityModeling and simulation of multiscale problemsArticle