Energetic variational approach for prediction of thermal electrokinetics in charging and discharging processes of electrical double layer capacitors
This work proposes a new variational, thermodynamically consistent model to predict
thermal electrokinetics in electric double layer capacitors (EDLCs) by using an energetic …
thermal electrokinetics in electric double layer capacitors (EDLCs) by using an energetic …
Field theory of reaction-diffusion: Law of mass action with an energetic variational approach
We extend the energetic variational approach so it can be applied to a chemical reaction
system with general mass action kinetics. Our approach starts with an energy-dissipation …
system with general mass action kinetics. Our approach starts with an energy-dissipation …
Structure-preserving numerical approximations to a non-isothermal hydrodynamic model of binary fluid flows
We present two second order, structure-preserving numerical schemes for a newly derived
thermodynamically consistent, non-isothermal hydrodynamical phase field model for …
thermodynamically consistent, non-isothermal hydrodynamical phase field model for …
The Brinkman-Fourier system with ideal gas equilibrium
C Liu, JE Sulzbach - arXiv preprint arXiv:2007.07304, 2020 - arxiv.org
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 …
mechanical system, which guarantees the consistence between the energetic variational …
Global existence of the non-isothermal Poisson–Nernst–Planck–Fourier system
In this paper, we use the Energetic Variational Approach to derive a non-isothermal
electrokinetic model. The charge transport is described through the Poisson–Nernst–Planck …
electrokinetic model. The charge transport is described through the Poisson–Nernst–Planck …
Positivity of temperature for some non-isothermal fluid models
NA Lai, C Liu, A Tarfulea - Journal of Differential Equations, 2022 - Elsevier
We establish three partial differential equation models describing the thermodynamic
behavior of a fluid by combining the energetic variational approach, appropriate constitutive …
behavior of a fluid by combining the energetic variational approach, appropriate constitutive …
On an incompressible inertial nematic electrolyte model of liquid crystal flow
D Ma, Y Ma - Applicable Analysis, 2024 - Taylor & Francis
We study the Cauchy problem of the new model of the three dimensional inertial nematic
electrolyte, which models the N-species charged particles diffuse and advect in the nematic …
electrolyte, which models the N-species charged particles diffuse and advect in the nematic …
A convergent finite element scheme for a fourth-order liquid crystal model
S Metzger - IMA Journal of Numerical Analysis, 2022 - academic.oup.com
In this manuscript we propose and analyse a fully discrete, unconditionally stable finite
element scheme for a recently developed director model for liquid crystalline flows (Metzger …
element scheme for a recently developed director model for liquid crystalline flows (Metzger …
Well-posedness for the reaction-diffusion equation with temperature in a critical Besov space
C Liu, JE Sulzbach - Journal of Differential Equations, 2022 - Elsevier
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 …
non-equilibrium thermodynamics with the energetic variational approach we obtain a …