Seminar第2498讲 空间周期扰动下非线性波的NSP系统的渐近稳定性

创建时间:  2023/10/26  谭福平   浏览次数:   返回

报告题目 (Title):Asymptotic stability of the nonlinear wave to the NSP system under space-periodic perturbations(空间周期扰动下非线性波的NSP系统的渐近稳定性)

报告人 (Speaker):黎野平教授 (南通大学)

报告时间 (Time):2023年10月26日(周四)10:00

报告地点 (Place):腾讯会议:350 347 651 会议密码:6789

邀请人(Inviter):朱佩成


报告摘要:In 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–Stokes–Poisson 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.

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