Study Abroad Report：Pisa University, Italy.

Posted: 2024年3月27日(水)

Kenta Tomioka(Department of Pure and Applied Physics)

1. Destination

2. Dates of Stay

From 28 September 2023 to 12 March 2024 (167 days).
Departure from Japan : 27 September 2023.
Arrival to Japan : 13 March 2024.

3. Purpose

To visit Professor Vladimir Simeonov Gueorguiev and to study the nonlinear
differential equations (especially, nonlinear dispersive equations).

4. Main Host Professor

Professor Vladimir Simeonov Gueorguiev (Pisa University).

: Pisa University

: Professor Vladimir Simeonov Gueorguiev and me

5. Research Activity

Kenta Tomioka, The vanishing dispersion limit of the Schrödinger-improved
Boussinesq system and its first approximation, A three-day Dispersive Meeting in
Pisa, 08-10 February 2024 (Italian time), Pisa University (Italy), 10 February 2024 (Italian time).
(Web site) https://pagine.dm.unipi.it/forcella/dispersive_days_02_2024.html

“The research topic is to analyze nonlinear dispersive equations (or systems). For example, we are interested in the nonlinear Schrödinger equation, the Zakharov
system and the Klein-Gordon-Schrödinger system. Especially, we studied the behavior
(scattering problems or stability problems or blow up problems) of these solutions.”
([1]).We have some results of our research partially.

6. Other comments

I appreciate Professor Tohru Ozawa and Professor Vladimir Simeonov Gueorguiev since
I could get the chances to study our research topics in Pisa University by the Cotutelle Program. Moreover, I appreciate Ms. Yukari Ishizaki, Waseda University
and Japan society for the promotion of science since they helped and supported me.
Especially, first trip ([1]) was supported by Waseda University and second　trip (this trip) was supported by Japan society for the promotion of science (DC2)
mainly. Finally, I appreciate everyone related to the Cotutelle Program and everyone whom I met.