PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Ping Xu, Qiang Du.

Title:Traveling wave solutions to reaction diffusion equations with fractional Laplacians
Seminar:Multiscale Modeling and Simulations Seminar
Speaker:Changfeng Gui, National Science Foundation
Abstract:
In this talk, I will discuss the existence and asymptotic behavior of traveling wave solutions to Allen-Cahn equation with fractional Laplacians where the double well potenotial has unequal depths. A key ingredient is the estimate of the speed of the traveling wave in terms of the potential, which seems new even for the classical Allen-Cahn equation. I will also discuss nonexistence of traveling wave solutions to a nonlocal combustion model. The talk is based on recent results obtained jointly with Tingting Huan and with Mingfeng Zhao respectively.

Room Reservation Information

Room Number:MB106
Date:11 / 11 / 2013
Time:03:35pm - 04:25pm