96 citations · 484 across the 29 of their papers we have counts for
7 papers · 1 filter
On variational principles for polarization responses in electromechanical systems
Yiwei Wang, Chun Liu, Bob Eisenberg
Classical electrodynamics uses a dielectric constant to describe the polarization response of electromechanical systems to changes in an electric field. We generalize that descript…
A second-order accurate, operator splitting scheme for reaction-diffusion systems in an energetic variational formulation
Chun Liu, Cheng Wang, Yiwei Wang
A second-order accurate in time, positivity-preserving, and unconditionally energy stable operator splitting numerical scheme is proposed and analyzed for the system of reaction-di…
On a Reversible Gray-Scott Type System from Energetic Variational Approach and Its Irreversible Limit
Jiangyan Liang, Ning Jiang, Chun Liu +2
Most of the previous studies on the well-known Gray-Scott model view it as an irreversible chemical reaction system. In this paper, we derive a four-species reaction-diffusion syst…
Nonlinear simulation of vascular tumor growth with chemotaxis and the control of necrosis
Min-Jhe Lu, Wenrui Hao, Chun Liu +2
In this paper, we develop a sharp interface tumor growth model in two dimensions to study the effect of both the intratumoral structure using a controlled necrotic core and the ext…
Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance
Chun Liu, Cheng Wang, Yiwei Wang +1
We present a detailed convergence analysis for an operator splitting scheme proposed in [C. Liu et al.,J. Comput. Phys., 436, 110253, 2021] for a reaction-diffusion system with det…
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…
A two species micro-macro model of wormlike micellar solutions and its maximum entropy closure approximations: An energetic variational approach
Yiwei Wang, Teng-Fei Zhang, Chun Liu
Wormlike micelles are self-assemblies of polymer chains that can break and recombine reversibly. In this paper, we derive a thermodynamically consistent two species micro-macro mod…