Sakamoto Shota | Last modified date:2024.04.05 |
Graduate School
Undergraduate School
Homepage
https://kyushu-u.elsevierpure.com/en/persons/shota-sakamoto
Reseacher Profiling Tool Kyushu University Pure
Country of degree conferring institution (Overseas)
No
Field of Specialization
Partial differential equations; kinetic theory of gases; kinetic equations; Boltzmann equation
Total Priod of education and research career in the foreign country
00years11months
Research
Research Interests
Membership in Academic Society
- My research interests are study of various kinetic equations, particularly the non cut-off Boltzmann equation. I study the existence, uniqueness, and regularity of solutions to a Cauchy problem of the equation. My main results are: the construction of a global solution to the non cut-off Boltzmann equation near the global equilibrium in Besov spaces over the whole space[Morimoto and S., J. Differential Equation 261(2016)], and the construction of a global solution to the equation near the equilibrium in the Wiener space over the torus and the strip [Duan et al., Comm. Pure Appl. Math. 74(2021)]. The uniqueness of solutions and their time-decay rates are also proved. I will study the regularity of the obtained solutions, and the construction of solutions to the equation with more slowly decaying initial data.
keyword : Partial differential equations, kinetic equations, Boltzmann equation, existence and uniqueness of a solution
2016.04.
Papers
Presentations
1. | Global solutions to the Boltzmann equation without angular cut-off that are characterized by integrability of their Fourier transform. |
- THE MATHEMATICAL SOCIETY OF JAPAN
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