Rchr
J-GLOBAL ID：201901017806459513
Update date: Apr. 04, 2024
Sakamoto Shota
Sakamoto Shota
Affiliation and department：
Research keywords (4)：
Partial differential equations
, Landau equation
, Boltzmann equation
, Kinetic equations
Research theme for competitive and other funds (4)：
- 2020 - 2024 新たな構造の解空間を用いた運動論方程式の解の諸性質に関する研究
- 2022 - 2023 速度特異性を持つ非線形ボルツマン方程式の有界領域における解析
- 2018 - 2020 希薄気体中における粘性摩擦の解析学および確率論を用いた研究
- 2016 - 2018 運動論方程式における解の数理解析
Papers (8)：
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Renjun Duan, Shota Sakamoto, Yoshihiro Ueda. An \(\boldsymbol{L^1_{k}\cap L^{p}_{k } }\) Approach for the Non-Cutoff Boltzmann Equation in \(\boldsymbol{\mathbb{R}^3}\). SIAM Journal on Mathematical Analysis. 2024. 56. 1. 762-800
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Shota Sakamoto, Masahiro Suzuki, Katherine Zhiyuan Zhang. Boundary layers of the Boltzmann equation in three-dimensional half-space. Journal of Differential Equations. 2022. 314. 446-472
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Shota Sakamoto. Global solutions to an equation for mutation process in bacteria and its preservation of positive supports. Journal of Mathematical Analysis and Applications. 2022. 507. 1. 125771-125771
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Renjun Duan, Shuangqian Liu, Shota Sakamoto, Robert M. Strain. Global Mild Solutions of the Landau and Non-Cutoff Boltzmann Equations. Communications on Pure and Applied Mathematics. 2020
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Yushi Nakano, Shota Sakamoto. Spectra of expanding maps on Besov spaces. Discrete and Continuous Dynamical Systems. 2019. 39. 4. 1779-1797
ｍore...
MISC (6)：
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坂本祥太. 希薄気体中における粘性摩擦の数理解析. 第8回白浜研究集会報告集. 2017. 8-17
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坂本祥太. 非切断Boltzmann方程式のChemin-Lerner空間における大域解. 第7回白浜研究集会報告集. 2016. 93-101
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SAKAMOTO Shota. Global solutions in the critical Besov space for the non-cutoff Boltzmann equation. 2015. 303-312
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坂本祥太. 拡散項付きボルツマン方程式の無限エネルギー解. 第6回白浜研究集会報告集. 2015. 69-78
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坂本祥太. Wasserstein 計量を用いたモデルBoltzmann 方程式の解析. 第5回白浜研究集会報告集. 2014. 89-98
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Lectures and oral presentations (44)：
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Faster decay of the microscopic part of a solution to the Boltzmann equation
(Workshop on PDE Week-Kinetic and Related Topics 2024)
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Faster decay of the microscopic part of a solution to the Boltzmann equation
(CM2LA Seorabeol Research Station: Workshop in Kinetic Theory 2024)
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Global solutions to the Boltzmann equation without angular cut-off that are characterized by integrability of their Fourier transform
(2023)
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Faster decay of the microscopic part of a solution to the Boltzmann equation without angular cut-off
(East Asian Workshop on PDEs from Kinetics and Continuum Mechanics 2023)
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Faster decay of the microscopic part of a solution to the Boltzmann equation
(Kinetic Seminar 2023)
ｍore...
Work history (5)：
- 2023/04 - 現在 Kyushu University Faculty of Mathematics Associate Professor
- 2020/04 - 2023/03 Tokyo Institute of Technology Department of Mathematics, School of Science Assistant Professor
- 2018/04 - 2020/03 Tohoku University Mathematical Institute JSPS PD Fellow
- 2017/04 - 2018/03 Kyoto University Graduate School of Human and Environmental Studies JSPS PD Fellow
- 2016/04 - 2017/03 Kyoto University Graduate School of Human and Environmental Studies JSPS DC Fellow
Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
