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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
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…