»ã±¨±êÌâ (Title)£ºHydrodynamic limit of Boltzmann equations for mixture gas£¨»ìºÏÆøÌå²£¶û×ÈÂü·½³ÌµÄÁ÷Ì嶯Á¦¼«ÏÞ£©

»ã±¨ÈË (Speaker)£ºÑîÐÛ·æ ½ÌÊÚ (ÉϺ£½»Í¨´óѧ)

»ã±¨¹¦·ò (Time)£º2023Äê10ÔÂ30ÈÕ£¨ÖÜÒ»£©14£º00

»ã±¨µØÖ· (Place)£º699 652 702 »áÒéÃÜÂ룺6789

Ô¼ÇëÈË(Inviter)£ºÖìÅå³É ½ÌÊÚ

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»ã±¨ÌáÒª£º In this talk, I will present the hydrodynamic limit of Boltzmann equations for mixture gas in the whole-space. Precisely, we derived the compressible Euler equations for two-component fluid from the kinetic system with molecular potential $-3/2<\gamma \leq 1$ by Hilbert expansion, then we justified the validity of this expansion under the assumption of the local existence of the smooth solution for compressible Euler equations. Our approach is based on the framework established in (Y. Guo, J. Jang and N. Jiang Comm. Pure Appl. Math. 63 (2010) no. 3, 337-361).