Asymptotic stability of the stationary solution for the compressible Navier-Stokes-Korteweg equations

时间:2021-12-29 10:00

地点:腾讯会议 954 220 186

主讲人:黎野平

主讲人中文简介:

黎野平,南通大学理学院教授、博导、“楚天学者”特聘教授。本硕博先后毕业于湖北大学、武汉大学和香港中文大学。主要研究领域为自然科学中的非线性偏微分方程。在重要数学期刊Math Mod Meth Appl Sci,SIAM J Math Anal,  JDE, CMS发表论文90余篇。主持完成国家自科基金3项和教育部博士点博导专项、上海市教委创新项目及江苏省自科基金;现主持国家自科基金面上项目1项。

内容摘要:

I present the large-time behavior of solutions to an out-flow problem in 1D half space for the Navier-Stokes-Korteweg equation which models compressible fluids with capillarity. Applying the center manifold theory, I prove the existence of stationary solution under a smallness condition on the boundary data and a proper relation between capillary coefficient and Mach number at far field. Asymptotically stability of stationary solution is  also proved. This is a joint work with Prof. Peicheng Zhu.

主持人:吴志刚