Rchr
J-GLOBAL ID：201401024800460640   Update date: Jul. 30, 2024

Nakanishi Kenji

Nakanishi Kenji
Affiliation and department：
Kyoto University Research Institute for Mathematical Sciences Basic Mathematics Research Section

About Kyoto University Research Institute for Mathematical Sciences Basic Mathematics Research Section


Research field  (1)： Mathematical analysis
Research theme for competitive and other funds  (18)：
  • 2022 - 2027 Global analysis for nonlinear dispersive equations
  • 2020 - 2025 Blowup phenomena in chemotaxis system
  • 2017 - 2022 非線形波動方程式の大域ダイナミクス
  • 2013 - 2018 An investigation of symmetries in the geometric structure and existence of global solutions to nonlinear dispersive wave equations
  • 2015 - 2017 Transient order weaved by vortex
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Papers (42)：
  • Kenjiro Ishizuka, Kenji Nakanishi. Global Dynamics Around 2-Solitons for the Nonlinear Damped Klein-Gordon Equations. Annals of PDE. 2022. 9. 1
  • Timothy Candy, Sebastian Herr, Kenji Nakanishi. The Zakharov system in dimension $ d \geq 4. Journal of the European Mathematical Society. 2022. 25. 8. 3177-3228
  • Zihua Guo, Kenji Nakanishi. The Zakharov system in 4D radial energy space below the ground state. American Journal of Mathematics. 2021. 143. 5. 1527-1600
  • Timothy Candy, Sebastian Herr, Kenji Nakanishi. Global wellposedness for the energy-critical Zakharov system below the ground state. Advances in Mathematics. 2021. 384. 107746-107746
  • Slim Ibrahim, Hiroaki Kikuchi, Kenji Nakanishi, Juncheng Wei. Non-uniqueness for an energy-critical heat equation on $${\mathbb {R } }^2. Mathematische Annalen. 2021. 380. 1-2. 317-348
ｍore...
MISC (1)：
  • Nakanishi Kenji, Ozawa Tohru. Scattering problem for nonlinear Schrodinger and Hartree equations (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics). RIMS Kokyuroku. 2001. 1234. 105-112
Books (1)：
  • Invariant Manifolds and Dispersive Hamiltonian Evolution Equations
    European Mathematical Society 2011
Lectures and oral presentations  (2)：
  • Global dynamics around and away from solitons
    (International Congress of Mathematicians 2022 2022)
  • 調和写像のSchrodinger及び熱流における漸近安定性と永久振動集約
    (京大・理 2006)
Professional career (1)：
  • 博士(数理科学) (東京大学)
Work history (1)：
  • Kyoto University
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