The Cahn-Hilliard-Gurtin system coupled with elasticity. (English) Zbl 1119.35099

Summary: The paper concerns the existence of weak solutions to the Cahn-Hilliard-Gurtin system coupled with nonstationary elasticity. The system describes phase separation process in elastically stressed material. It generalizes the Cahn-Hilliard equation by admitting a more general structure and by coupling diffusive and elastic effects. The system is studied with the help of a singularly perturbed problem which has the form of a well-known phase field model coupled with elasticity. The established existence results are restricted to the homogeneous problem with gradient energy tensor and elasticity tensor independent of the order parameter.


35Q72 Other PDE from mechanics (MSC2000)
74N25 Transformations involving diffusion in solids
35D05 Existence of generalized solutions of PDE (MSC2000)
74A15 Thermodynamics in solid mechanics
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