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Existence results for diffuse interface models describing phase separation and damage. (English) Zbl 1290.35265
The authors investigate multi-component Cahn-Hilliard and Allen-Cahn systems which are coupled with elasticity and uni-directional damage processes. After the introduction of notation and labeling of the two systems of four equations $$S_0$$ and $$S_c$$, an appropriate notion of weak solutions is presented. Then existence of weak solutions for $$S_0$$ (two cases) and $$S_c$$ is shown, together with higher integrability of the strain tensor.

##### MSC:
 35Q74 PDEs in connection with mechanics of deformable solids 35D30 Weak solutions to PDEs
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##### References:
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