Author Archives: wpuser

分科会「運動論方程式,流体力学とその周辺」(第4回)

日時: 平成30年4月24日(火) 16:30-17:30
場所: 京都大学 桂キャンパスCクラスタ総合研究棟III(C3棟) 3階 b3n03室(航空宇宙工学専攻会議室)
講演: Shock Wave Theory and Boltzmann Equation
Prof. Tai-Ping Liu (Institute of Mathematics, Academia Sinica, Taiwan & Professor Emeritus, Department of Mathematics, Stanford University, USA)
要旨: Over the years, the speaker and Shih-Hsien Yu have tried to generalized the techniques in the shock wave theory for the study of the Boltzmann equation. We soon found out that there are similarities and also essential differences between the two fields. Specific examples will be given to illustrate this. We will start with the construction of the Green’s function for viscous conservation laws and for the Boltzmann equation. We then proceed with examples on nonlinear waves and boundary phenomena.

分科会「運動論方程式,流体力学とその周辺」(第3回)

日時: 平成29年12月14日(木) 16:30-17:30
場所: 京都大学 桂キャンパスCクラスタ総合研究棟III(C3棟) 3階 b3n03室(航空宇宙工学専攻会議室)
講演: Self-organized pattern formation of run-and-tumble chemotactic bacteria
Prof. Shugo Yasuda (Graduate School of Simulation Studies, University of Hyogo, Japan)
安田 修悟 准教授 (兵庫県立大学 大学院シミュレーション学研究科 シミュレーション学専攻)
要旨: Self-organized pattern formation of run-and-tumble chemotactic bacteria is investigated based on a mesoscopic kinetic chemotaxis model, in which a kinetic transport equation for chemotactic bacteria is coupled with a reaction-diffusion equation for chemical cues. The instability analysis of the kinetic chemotaxis model [1] and the traveling wave analysis of the related flux-limited Keller-Segel system [2] are introduced in this talk. The special focus is put on the multiscale mechanism between the macroscopic pattern formation and individual motions of chemotactic bacteria with stiff response.

References:
[1] B. Perthame, S. Yasuda, “Self-organized pattern formation of run-and-tumble chemotactic bacteria: Instability analysis of a kinetic chemotaxis model”, arXiv: 1703.08386.
[2] V. Calvez, B. Perthame, S. Yasuda, “Traveling wave and aggregation in a flux-limited Keller-Segel model”, arXiv: 1709.07296.

分科会「運動論方程式,流体力学とその周辺」(第2回)

日時: 平成29年10月25日(水) 16:00-18:00
場所: 京都大学 桂キャンパスCクラスタ総合研究棟III(C3棟) 3階 b3n03室(航空宇宙工学専攻会議室)
講演1: Behaviors of Navier-Stokes(Euler)-Fokker-Planck equations
Prof. Hailiang Li
(Department of Mathematics, Capital Normal University, China)
要旨1: We consider the behaviors of global solutions to the initial value problems for the multi-dimensional compressible Navier-Stokes(Euler)-Fokker-Planck equations. It is shown that due the micro-macro coupling effects, the sound wave type propagation of this NSFP or EFP system for two-phase fluids is observed with the wave speed determined by the two-phase fluids. This phenomena can not be observed for the pure Fokker-Planck equation.
講演2: Cross diffusion equations for non-isothermal gaseous mixtures
Prof. Francesco Salvarani
(CEREMADE – Université Paris-Dauphine, France & Dipartimento di Matematica, Università di Pavia, Italy)
要旨2: The diffusive behavior of multicomponent gaseous mixtures has recently gained interest in the mathematical community. In this talk, I will study a system describing diffusive phenomena for a mixture in a non-isothermal setting. I will prove local existence and uniqueness of the solution and discuss some effects of the temperature
on the mixture’s behavior.

New Website Launch

The website of Mathematical Fluid Dynamics Laboratory (Department of Aeronautics and Astronautics, Kyoto University) has been launched.

流体数理学研究室(京都大学 航空宇宙工学専攻)のホームページが開設されました.