Research keywords (4):
磁気流体力学
, ホール効果
, 調和解析学
, 非線形偏微分方程式
Research theme for competitive and other funds (2):
2022 - 2027 Mathematical analysis on the fluid of plasma with Hall-effect
2019 - 2021 Well-posedness and blow-up criterion for the magnetohydrodynamics system
Papers (6):
Mikihiro Fujii, Ryosuke Nakasato. Global solutions for the incompressible Hall-magnetohydrodynamics system around constant equilibrium states. Journal of Mathematical Analysis and Applications. 2024. 536. 2. 128231-128231
Shuichi Kawashima, Ryosuke Nakasato, Takayoshi Ogawa. Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect. Mathematical Models and Methods in Applied Sciences. 2022. 32. 09. 1807-1878
Shuichi Kawashima, Ryosuke Nakasato, Takayoshi Ogawa. Global well-posedness and time-decay of solutions for the compressible Hall-magnetohydrodynamic system in the critical Besov framework. Journal of Differential Equations. 2022. 328. 1-64
Ryosuke Nakasato. Global well-posedness for the incompressible Hall-magnetohydrodynamic system in critical Fourier-Besov spaces. Journal of Evolution Equations. 2022. 22. 1
Tatsuya Matsui, Ryosuke Nakasato, Takayoshi Ogawa. Singular limit for the magnetohydrodynamics of the damped wave type in the critical Fourier-Sobolev space. Journal of Differential Equations. 2021. 271. 414-446