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On a non-isothermal Cahn-Hilliard model based on a microforce balance


Date: Thursday, April 29, 2021 16:15 - 17:15
Speaker: Alice Marveggio (IST Austria)
Location: Online via Zoom
Series: Mathematics and CS Seminar
Host: Julian Fischer

We consider a non-isothermal Cahn-Hilliard model based on a microforce balance. The model was derived by A. Miranville and G. Schimperna starting from the two fundamental laws of Thermodynamics, following M. Gurtin’s two-scale approach. The main working assumptions are on the choice of the Ginzburg-Landau free energy, and on the behaviour of the heat flux as the absolute temperature tends to zero and to infinity. By deriving suitable a priori estimates and by showing weak sequential stability of families of approximating solutions, we prove global-in-time existence for the initial-boundary value problem associated to the entropy formulation and, in a subcase, also to the weak formulation of the model. (Joint work with G. Schimperna)

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