京都大学 NLPDE セミナー

今後のセミナーの予定
Schedules of future seminars

● 2026 年 1 月 16 日 (Fri) 16:00 〜 17:00
講演者
深谷 法良 氏 (滋賀県立大学 地域ひと・モノ・未来情報研究センター)
Noriyoshi Fukaya (The University of Shiga Prefecture)
講演題目
TBA
講演要旨
TBA


● 2026 年 1 月 23 日 (Fri) 16:00 〜 17:00
講演者
川本 昌紀 氏 (岡山大学)
Masaki Kawamoto (Okayama University)
講演題目
Global existence and scattering for nonlinear Schrödinger equations with nonlinearities below the Strauss exponents
講演要旨
For Schrödinger equations with power type nonlinearities, the global-in-time existence of solutions and their scattering are well understood if the power exceeds the Strauss exponent. However, when the exponent is at or below the Strauss exponent, the behavior of solutions is expected to depend on the form of the nonlinearity. In this talk, we introduce a suitable general class of nonlinearities that includes the some of the power-type nonlinearities, and we show that within this framework, the global existence of solution and scattering can be guaranteed even when the exponent lies below the Strauss threshold. This talk is based on joint work with Satoshi Masaki (Hokkaido University) and Hayato Miyazaki (Kagawa University).


● 2026 年 1 月 30 日 (Fri) 16:00 〜 17:00
講演者
Zhengguang Guo 氏 (Huaiyin Normal University)
講演題目
Steady Navier-Stokes problem in a 2D exterior domain
講演要旨
In the early 20 th century,G. Hamel constructed precise solutions to the Navier-Stokes boundary value problem in a two-dimensional exterior domain. However, the uniqueness of Hamel solution is not known. In this talk, we discuss its uniqueness by providing the detailed asymptotic structure of steady solutions via the method of Fourier analysis.