Rchr
J-GLOBAL ID:202001016624043162
Update date: May. 03, 2024
INUI Takahisa
イヌイ タカヒサ | INUI Takahisa
Affiliation and department:
Job title:
Associate Professor
Research field (1):
Mathematical analysis
Research keywords (3):
Dispersive equations
, Dissipative wave equations
, Global dynamics
Research theme for competitive and other funds (4):
- 2019 - 2023 量子流体力学に現れる確率偏微分方程式の研究
- 2018 - 2022 非線形消散型波動方程式の解の大域ダイナミクス
- 2017 - 2020 非線形分散型波動方程式の大域挙動の分類
- 2015 - 2017 非線形分散型波動方程式の解のダイナミクスに対する理論の構築
Papers (31):
-
Stephen Gustafson, Takahisa Inui. Blow-up or Grow-up for the threshold solutions to the nonlinear Schrödinger equation. Dynamics of Partial Differential Equations. 2023. 20. 3. 213-225
-
Noriyoshi Fukaya, Masayuki Hayashi, Takahisa Inui. Traveling waves for a nonlinear Schrödinger system with quadratic interaction. Mathematische Annalen. 2022
-
Kazuki Aoki, Takahisa Inui, Hayato Miyazaki, Haruya Mizutani, Kota Uriya. Asymptotic behavior for the long-range nonlinear Schrödinger equation on the star graph with the Kirchhoff boundary condition. Pure and Applied Analysis. 2022. 4. 2. 287-311
-
Takahisa Inui, Shuji Machihara. Non-delay limit in the energy space from the nonlinear damped wave equation to the nonlinear heat equation. Journal of Hyperbolic Differential Equations. 2022. 19. 03. 407-437
-
Stephen Gustafson, Takahisa Inui. Threshold odd solutions to the nonlinear Schrödinger equation in one dimension. Partial Differential Equations and Applications. 2022. 3. 4
more...
MISC (13):
-
Stephen Gustafson, Takahisa Inui. Two-solitons with logarithmic separation for 1D NLS with repulsive delta potential. preprint, arXiv:2310.08865. 2023
-
Stephen Gustafson, Takahisa Inui, Ikkei Shimizu. Multi-solitons for the nonlinear Schrödinger equation with repulsive Dirac delta potential. preprint, arXiv:2310.08862. 2023
-
Stephen Gustafson, Takahisa Inui. Scattering and Blow-up for threshold even solutions to the nonlinear Schrödinger equation with repulsive delta potential at low frequencies. preprint, arXiv:2310.08859. 2023
-
Masaru Hamano, Masahiro Ikeda, Takahisa Inui, Ikkei Shimizu. Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph. preprint, arXiv:2212.06411. 2022
-
Stephen Gustafson, Takahisa Inui. Threshold even solutions to the nonlinear Schrödinger equation with delta potential at high frequencies. 2022
more...
Lectures and oral presentations (79):
-
Threshold even solutions to the nonlinear Schr\"{o}dinger equation with a repulsive delta potential
(One-day workshop on nonlinear dispersive equation 2023)
-
Global dynamics for threshold solutions to the nonlinear Schr\"{o}dinger equation with a repulsive delta potential
(Okayama Workshop on Partial Differential Equations 2023)
-
デルタポテンシャル付き非線形シュレディンガー方程式の閾値における大域ダイナミクス
(189th Kagurazaka Seminar 2023)
-
デルタポテンシャル付き非線形シュレディンガー方程式の対称解の閾値における大域ダイナミクス
(Bibunhouteishiki seminar 2023)
-
Global dynamics for threshold even solutions to the nonlinear Schr\"{o}dinger equation with repulsive delta potential
(New trends in nonlinear partial differential equations 2023)
more...
Professional career (1):
- Doctor of Science (Kyoto University)
Work history (6):
- 2020/04 - 現在 Osaka University, Graduate School of Science, Department of Mathematics Associate Professor
- 2021/09 - 2023/08 The University of British Columbia Department of Mathematics Visiting Professor (Japan Society for the Promotion of Science (JSPS), Oversea Research Fellowship)
- 2018/04 - 2021/07 RIKEN, RIKEN Center for Advanced Intelligence Project (AIP), Visiting Researcher
- 2018/04 - 2020/03 Osaka University, Graduate School of Science, Department of Mathematics Assistant Professor
- 2017/04 - 2018/03 Tokyo University of Science, Faculty of Science, Division 1 Mathematics Japan Society for the Promotion of Science (JSPS), Postdoctoral Fellow
- 2015/04 - 2017/03 Kyoto University, Graduate School of Science, Division of Mathematics Japan Society for the Promotion of Science (JSPS), Doctoral Course Students 2
Show all
Committee career (1):
- 2020/04 - 現在 Division of Functional Equations, The Mathematical Society of Japan, Information Committee
Association Membership(s) (2):
International Society for Analysis, its Applications and Computation (ISAAC)
, The Mathematical Society of Japan
Return to Previous Page