7 citations · 13 across the 12 of their papers we have counts for
12 papers
Gradient Flows of Interfacial Energies: Curvature Agents and Incompressibility
Keith Promislow, Truong Vu, Brian Wetton
We present a framework for the gradient flow of sharp-interface surface energies that couple to embedded curvature active agents. We use a penalty method to develop families of loc…
Quasisteady patterns in interfaces: Folding and Faceting
Vinh Nguyen, Keith Promislow, Brian Wetton
We present a systematic derivation of the gradient flows associated to a broad class of interfacial energies, emphasizing the relation between intrinsic and extrinsic variations of…
A fast solver for the pseudo-two-dimensional model of lithium-ion batteries
Rachel Han, Colin Macdonald, Brian Wetton
The pseudo-two-dimensional (P2D) model is a complex mathematical model that can capture the electrochemical processes in Li-ion batteries. However, the model also brings a heavy co…
Slow Migration of Brine Inclusions in First-Year Sea Ice
Noa Kraitzman, Keith Promislow, Brian Wetton
We derive a thermodynamically consistent model for phase change in sea ice by adding salt to the framework introduced by Penrose and Fife. Taking the salt entropy relative to the l…
Equivalent formulations of the oxygen depletion problem, other implicit free boundary value problems, and implications for numerical approximation
Xinyu Cheng, Zhaohui Fu, Brian Wetton
The Oxygen Depletion problem is an implicit free boundary value problem. The dynamics allow topological changes in the free boundary. We show several mathematical formulations of t…
Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow
Andrew Christlieb, Keith Promislow, Zengqiang Tan +3
Reductions of the self-consistent mean field theory model of amphiphilic molecules in solvent can lead to a singular family of functionalized Cahn-Hilliard energies. We modify thes…
Cellular automaton model for substitutional binary diffusion in solids
Helena Ribera, Brian Wetton, Timothy Myers
In this paper we use the cellular automaton (CA) approach to model one-dimensional binary diffusion in solids. Employing a very simple state change rule we define an asynchronous C…
Mathematical model for substitutional binary diffusion in solids
Helena Ribera, Brian Wetton, Timothy Myers
In this paper we detail the mechanisms that drive substitutional binary diffusion and derive appropriate governing equations. We focus on the one-dimensional case with insulated bo…
Asymptotic Behaviour of Time Stepping Methods for Phase Field Models
Xinyu Cheng, Dong Li, Keith Promislow +1
Adaptive time stepping methods for metastable dynamics of the Allen Cahn and Cahn Hilliard equations are investigated in the spatially continuous, semi-discrete setting. We analyse…
Asymptotic reduction of a porous electrode model for lithium-ion batteries
Iain R. Moyles, Matthew G. Hennessy, Timothy G. Myers +1
We present a porous electrode model for lithium-ion batteries using Butler--Volmer reaction kinetics. We model lithium concentration in both the solid and fluid phase along with so…
Residual Velocities in Steady Free Boundary Value Problems of Vector Laplacian Type
Wan Chen, Brian Wetton
This paper describes a technique to determine the linear well-posedness of a general class of vector elliptic problems that include a steady interface, to be determined as part of…
Numerical Methods for Coupled Surface and Grain Boundary Motion
Zhenguo Pan, Brian Wetton
We study the coupled surface and grain boundary motion in a bicrystal in the context of the "quarter loop" geometry. Two types of physics motions are involved in this model: motion…