3 citations · 4 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Existence Theorems for a Fourth-Order Exponential PDE Related to Crystal Surface Growth
Brock C. Price, Xiangsheng Xu
In this article we prove the global existence of a unique strong solution to the initial boundary-value problem for a fourth-order exponential PDE. The equation we study was origin…
Strong solutions to a fourth order exponential PDE describing epitaxial growth
Brock C. Price, Xiangsheng Xu
In this paper we prove the global existence of a strong solution to the initial boundary value problem for the exponential partial differential equation $\partial_tu-Δe^{-Δu}+e^{-Δ…
Global existence theorem for a model governing the motion of two cell populations
Brock C. Price, Xiangsheng Xu
This article is concerned with the existence of a weak solution to the initial boundary problem for a cross-diffusion system which arises in the study of two cell population growth…