»ã±¨±êÌâ (Title)£ºAsymptotic stability of the nonlinear wave to the NSP system under space-periodic perturbations£¨¿Õ¼äÖÜÆÚÈŶ¯Ï·ÇÏßÐÔ²¨µÄNSPϵͳµÄ½¥½ü²»±äÐÔ£©

»ã±¨ÈË (Speaker)£ºÀèҰƽ ½ÌÊÚ (ÄÏͨ´óѧ)

»ã±¨¹¦·ò (Time)£º2023Äê10ÔÂ26ÈÕ£¨ÖÜËÄ£©10£º00

»ã±¨µØÖ· (Place)£ºÌÚѶ»áÒ飺350 347 651 »áÒéÃÜÂ룺6789

Ô¼ÇëÈË(Inviter)£ºÖìÅå³É ½ÌÊÚ

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»ã±¨ÌáÒª£ºIn this talk, we focus on the large-time behaviors of the viscous shock profile and rarefaction wave under initial perturbations which tend to space-periodic functions at infinities for the one-dimensional compressible Navier¨CStokes¨CPoisson equations. We mainly present that: (1) for the viscous shock with small strength, if the initial perturbation is suitably small and satisfies a zero-mass type condition, then the solution tends to background viscous shock with a constant shift as time tends to the infinity, and the shift depends on both the mass of the localized perturbation, and the space-periodic perturbation; (2) for the rarefaction wave, if the initial perturbation is suitably small, then the solution tends to background rarefaction wave as time tends to infinity. This is a joint work with Prof. Yu Mei and Yuan Yuan.