Faculty of Mathematics, Physics
and Informatics
Comenius University in Bratislava

Seminar on Qualitative Theory of Differential Equations - Masaki Kurokiba (11.10.2018)

Thursday 11.10.2018 at 15:00, Lecture room M/223

05. 10. 2018 20.53 hod.
By: Pavol Quittner

Masaki Kurokiba  (Muroran Institute of Technology):
Singular limit problem for the Keller-Segel system to a drift-diffusion system in critical spaces

We consider the singular limit problem of the Cauchy problem for the Keller-Segel problem in the critical function spaces. It is shown that the solution to the Keller-Segel system in the scaling critical function spaces converges to the solution to the drift-diffusion system of parabolic-elliptic equations (simplified Keller-Segel model) in the critical space strongly as a relaxation time parameter goes to infinity. For the proof, we employ generalized maximal regularity for heat equations and use it systematically with the sequence of embeddings between the interpolation spaces.

More information