Research keywords (8):
nonlinear Klein-Gordon equaiton
, tine-global dynamics
, nonlinear scattering problem
, stability of standing wave
, soliton
, large-time behavior of solutions
, nonlinear Schrodinger equation
, dispersive equations
Research theme for competitive and other funds (11):
2024 - 2028 Research on balance and cooperation phenomena of dispersion effect and nonlinear effect in nonlinear dispersive equations
2021 - 2026 非線形偏微分方程式のおける解の臨界正則性と特異性
2021 - 2025 Global analysis for solution of dispersive partial differential equation with mass subcritical nonlinearity
2017 - 2022 非線形波動方程式の大域ダイナミクス
2017 - 2021 Analysis of large time behavior of solution to nonlinear partial differential equations with dispersion
2017 - 2021 Research on transition phenomena in nonlinear dispersive equations
2019 - 2021 Research on threshold phenomena and stability of solitons in nonlinear dispersive equations
2012 - 2016 Study of structure of solutions to Schrodinger equation from quantum-fluid point of view
2010 - 2011 Analysis on Nonlinear Schrodinger Equations with nonlocal nonlinearity growing at the spatial infinity
2009 - 2011 半古典近似を用いた非線形Schrodinger方程式の解析
2007 - 2008 半古典近似を用いた非線型Schrodinger方程式の解析
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Papers (31):
Naoyasu Kita, Satoshi Masaki, Jun-ichi Segata, Kota Uriya. Polynomial deceleration for a system of cubic nonlinear Schrödinger equations in one space dimension. Nonlinear Analysis. 2023. 230. 113216-113216
Satoshi Masaki, Hayato Miyazaki. Global behavior of solutions to generalized Gross-Pitaevskii equation. published online in Differential Equations and Dynamical Systems. 2022
Satoshi Masaki, Jun-ichi Segata, Kota Uriya. On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension. Transactions of the American Mathematical Society, Series B. 2022. 9. 18. 517-563
Masaru Hamano, Satoshi Masaki. A SHARP SCATTERING THRESHOLD LEVEL FOR MASS-SUBCRITICAL NONLINEAR SCHRODINGER SYSTEM. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 2021. 41. 3. 1415-1447
Satoshi Masaki, Jun-ichi Segata, Kota Uriya. Long range scattering for the complex-valued Klein-Gordon equation with quadratic nonlinearity in two dimensions. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES. 2020. 139. 177-203
Satoshi Masaki. Analysis of Hartree equation with an interaction growing at the spatial infinity. 2011
MASAKI SATOSHI. Semiclassical limit of Schrodinger-Poisson system and classical limit of quantum Euler-Poisson equations in 2D (Mathematical analysis in fluid and gas dynamics). RIMS Kokyuroku. 2011. 1730. 1730. 45-57
2006 - 2009 Kyoto University Graduate School of Science
2004 - 2006 Kyoto University Graduate School of Science
2000 - 2004 Kyoto University Faculty of Science Faculty of Science
Professional career (1):
Doctor of Science (Kyoto University)
Work history (5):
2023/04 - 現在 Hokkaido University Faculty of Science Professor
2016/04 - 2023/03 Osaka University Graduate School of Engineering Science Associate Professor
2012/10 - 2016/03 Hiroshima University Graduate School of Engineering Associate Professor
2010/04 - 2012/09 Gakushuin University Faculty of Science Assistant Professor
2009/04 - 2010/03 Tohoku University Graduate School of Information Sciences JSPS fellow
Awards (1):
2017/12 - Division of Functional Equations, Mathematical Society of Japan Hukuhara prize Harmonic analysis and variational method for time global analysis of solutions to non-linear dispersive equations