| 日時 | 12月13日(金) 15:30--17:00 |
|---|---|
| 会場 | 福岡大学 セミナーハウス 2階 セミナー室 |
| 講師 | Jiang Xu 氏 (Nanjing University of Aeronautics and Astronautics / 九州大学) |
| 題目 | Global well-posedness in spatially critical Besov space for the Boltzmann equation |
| 概要 | The unique global strong solution in the Chemin-Lerner type space to the Cauchy problem on the Boltzmann equation for hard potentials is constructed in perturbation framework. Such solution space is of critical regularity with respect to spatial variable, and it can capture the intrinsic property of the Botlzmann equation. For the proof of global well-posedness, we develop some new estimates on the nonlinear collision term through the Littlewood-Paley theory. |