Speaker
Brock Price
Title
Mathematics Seminar Series
Subtitle
A Mathematical Theory of Epitaxial Growth
Physical Location
Allen 14
Abstract:
We investigate several fourth-order PDE's modeling epitaxial growth. These models feature exponential nonlinearities as well as the p-Laplacian and 1-Laplacian. The main mathematical difficulty is in the exponents, for which there are few estimates. Due to the lack of estimates, the exponent is allowed to be a measure-valued function with a decomposition given by the Lebesgue decomposition theorem.
PhD Advisor:
Dr. Xiangsheng Xu