PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Qingtian Zhang.

Title:Uniqueness and singularities of weak solutions to some nonlinear wave equations
Seminar:Ph.D. Thesis Defense
Speaker:Qingtian Zhang, Adviser: Alberto Bressan, Penn State
I will talk about several results I obtained during my phd period. First result is the uniqueness of conservative weak solution to (two-component) Camassa-Holm equations, and variational wave equations. They are mainly based on the representation of solutions along the characteristics. I will also present the results on generic singularities of Camassa-Holm equation and two-component Camassa-Holm equations, revealing their differences. For the case of cubic Camassa-Holm equation, where the characteristic method fails, I will prove the global wellposedness of weak solution by Kruzkov's theory. Last part will be the results on p-system. I will provide several examples showing that the BV norm of approximate solutions may blow up.

Room Reservation Information

Room Number:MB106
Date:05 / 04 / 2016
Time:09:30am - 12:30pm