|Speaker :||1.Prof. Yong Yu (The Chinese University of Hong Kong) 2.Dr. Soo Jung Kim (The Chinese University of Hong Kong)|
|Title :||1.TBA 2.Asymptotic large time behavior of singular solutions of the fast diffusion equation|
|Time :||2017-07-14 (Fri) 10:00 - 12:10|
|Place :||Seminar Room 722, Institute of Mathematics (NTU Campus)|
2.In this talk, we discuss the existence and asymptotic behavior of singular solutions of the fast diffusion equation in in the subcritical case and , with initial data such that for some constants and . Existence and large time asymptotics of solutions with such initial data rely on the study of singular self-similar solutions with initial data related to a certain elliptic problem for self-similar profiles. When , a solution with initial data close to a self-similar solution in some weighted -space converges to the self-similar solution as . This is joint work with Kin Ming Hui.