Asymptotic stability of the nonlinear wave to the NSP system under space-periodic perturbations

：黎野平（南通大学）
：2025-03-31 08:30
：海韵园行政楼C503

报告人：黎野平（南通大学）

时  间：2025年3月31日8:30

地  点：海韵园行政楼C503

内容摘要:

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 Yu Mei and Yuan Yuan.

个人简介：

黎野平，南通大学数学与统计学院二级教授、博士研究生导师。先后在湖北大学、武汉大学和香港中文大学获教育学学士学位、理学硕士学位和博士学位。主要致力于非线性偏微分方程的研究，尤其是来自物理、材料、生物和医学等自然科学中的各类非线性偏微分方程和非线性耦合方程组。在《Mathematical Models and Methods in Applied Sciences》，《SIAM Journal of Mathematical Analysis》，《Calculus of Variations and Partial Differential Equations》和《Journal of Differential Equations》等国际、国内的重要学术期刊杂志上发表论文100余篇。同时，主持完成国家自然科学基金3项和教育部博士点博导专项、上海市教委创新项目以及江苏省自然科学基金等省部级科研项目10余项；现在正主持国家自然科学基金面上项目1项和参加国家自然科学基金重点项目1项。

 

联系人：罗珍