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math.AP2021★ 2 cited
Temperature dependent extensions of the Cahn-Hilliard equation
Francesco De Anna, Chun Liu, Anja Schlömerkemper +1
The Cahn-Hilliard equation is a fundamental model that describes phase separation processes of binary mixtures. In this paper we focus on the dynamics of these binary media, when t…
math.AP2021★ 1 cited
Well-Posedness for the Reaction-Diffusion Equation with Temperature in a critical Besov Space
Chun Liu, Jan-Eric Sulzbach
We derive a model for the non-isothermal reaction-diffusion equation. Combining ideas from non-equilibrium thermodynamics with the energetic variational approach we obtain a genera…