1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2025
A Global Existence Theorem for a Fourth-Order Crystal Surface Model with Gradient Dependent Mobility
Brock C. Price, Xiangsheng Xu
In this article we study the existence of solutions to a fourth-order nonlinear PDE related to crystal surface growth. The key difficulty in the equations comes from the mobility m…
math.AP2024★ 1 cited
An Existence Theorem for a Model of Temperature Within a Lithium-Ion Battery
Brock C. Price, Xiangsheng Xu
In this article we investigate a model for the temperature within a Lithium-Ion battery. The model takes the form of a parabolic PDE for the temperature coupled with two elliptic P…
math.AP2023
Exponential Crystal Relaxation Model With P-Laplacian
Brock C. Price, Xiangsheng Xu
In this article we prove the global existence of weak solutions to an initial boundary value problem with an exponential and p-Laplacian nonlinearity. The equation is a continuum l…