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Showing 2017 · math.APShow all
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math.AP2017★ 30 cited
Non-isothermal general Ericksen-Leslie system: derivation, analysis and thermodynamics-consistency
Francesco De Anna, Chun Liu
We derive a model describing the evolution of a nematic liquid-crystal material under the action of thermal effects. The first and second laws of thermodynamics lead to an extensio…
math.AP2017★ 96 cited
An Energetic Variational Approach for the Cahn--Hilliard Equation with Dynamic Boundary Condition: Model Derivation and Mathematical Analysis
Chun Liu, Hao Wu
The Cahn--Hilliard equation is a fundamental model that describes phase separation processes of binary mixtures. In recent years, several types of dynamic boundary conditions have…
math.AP2017
Kinetic solutions for nonlocal scalar conservation laws
Jinlong Wei, Jinqiao Duan, Guangying Lv
This work is devoted to examine the uniqueness and existence of kinetic solutions for a class of scalar conservation laws involving a nonlocal super-critical diffusion operator. Ou…