Fakulta matematiky, fyziky
a informatiky
Univerzita Komenského v Bratislave

Seminár z kvalitatívnej teórie diferenciálnych rovníc - Masaki Kurokiba (11.10.2018)

vo štvrtok 11.10.2018 o 15:00 hod. v miestnosti M/223


05. 10. 2018 20.50 hod.
Od: Pavol Quittner

Prednášajúci:  Masaki Kurokiba  (Muroran Institute of Technology)

Názov prednášky: Singular limit problem for the Keller-Segel system to a drift-diffusion system in critical spaces

Termín: 11.10.2018, 15:00 hod., M/223


Abstrakt:
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.

Stránka seminára