The Mathematics Calendar
http://www.math.psu.edu/seminars/calendar.php
Seminars and special events the Pennsylvania State University Mathematics Department2016-05-02webmaster@math.psu.eduSL(2,R) seminar
http://www.math.psu.edu/seminars/meeting.php?id=31119
Speaker(s): Various
This seminar will example aspects of the representation theory of SL(2,R)2016-05-03T16:15:00Special Eventhigson@math.psu.eduUniqueness and singularities of weak solutions to some nonlinear wave equations
http://www.math.psu.edu/seminars/meeting.php?id=31489
Speaker(s): Qingtian Zhang, Adviser: Alberto Bressan
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.2016-05-04T09:30:00Ph.D. Thesis Defensezhang_q@math.psu.eduTBA
http://www.math.psu.edu/seminars/meeting.php?id=31729
Speaker(s): Qingtian Zhang, Adviser: Alberto Bressan, Penn State
2016-05-04T09:30:00Ph.D. Thesis Defenseauh243@math.psu.edu