Monthly Archives: September 2017

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.