8 citations · 21 across the 10 of their papers we have counts for
5 papers · 1 filter
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…
The Brinkman-Fourier System with Ideal Gas Equilibrium
Chun Liu, Jan-Eric Sulzbach
In this work, we will introduce a general framework to derive the thermodynamics of a fluid mechanical system, which guarantees the consistence between the energetic variational ap…
Phase-field dynamics with transfer of materials: The Cahn--Hilliard equation with reaction rate dependent dynamic boundary conditions
Patrik Knopf, Kei Fong Lam, Chun Liu +1
The Cahn--Hilliard equation is one of the most common models to describe phase separation processes of a mixture of two materials. For a better description of short-range interacti…
Global Existence of the Non-isothermal Poisson-Nernst-Planck-Fourier System
Chia-Yu Hsieh, Tai-Chia Lin, Chun Liu +1
In this paper, we consider a non-isothermal electrokinetic model, which is derived from the Energetic Variational Approach. The charge transport is described through the Poisson-Ne…
Analysis of the energy dissipation laws in multi-component phase field models
Arkadz Kirshtein, James Brannick, Chun Liu
In this paper, two approaches for modeling three-component fluid flows using diffusive interface method are discussed. Thermodynamic consistency of the proposed models is preserved…