|Speaker :||Prof. Eiji Yanagida (Tokyo Institute of Technology)|
|Time :||2017-04-11 (Tue) 10:30 - 11:30|
|Place :||Seminar Room 722, Institute of Mathematics (NTU Campus)|
We investigate the Cauchy problem for the logarithmic diffusion equation on the whole line. For this problem, due to fast diffusion, the extinction of solutions may occur in finite time. The aim of this talk is to investigate precise behavior of solutions near extinction time under some asymptotic conditions.
By employing an intersection number argument, it is shown that after rescaling of the time variable and unknown variable, the solution approaches a traveling pulse solution of the logarithmic diffusion equation with a linear source.
This is a joint work with Masahiko Shimojo and Peter Takac.