报告题目：Uniform stability of equilibria in the inviscid limit for the Navier-Stokes-Korteweg system

报 告 人：蒲学科教授（广州大学）

报告时间：2026年1月14日（周三）16:30-17:30

报告地点：龙洞校区行政楼610

邀 请 人：彭红云、翟小平

Abstract: This talk considers a stability result for the three-dimensional Navier-Stokes-Korteweg system uniformly in the inviscid limit. We obtain a unique global smooth solution close to the constant equilibria (1, 0), independent of the viscosity parameter ε, assuming that the potential part of the initial velocity is small independently of the viscosity parameter ε while the incompressible part of the initial velocity is small compared to ε. The proof is based on the parabolic energy estimates and dispersive properties involving the method of space time resonances.

报告人简介：蒲学科，理学博士，广州大学，教授，博士生导师。毕业于中国工程物理研究院研究生部，获理学博士学位，应用数学方向，主要从事非线性偏微分方程的数学理论研究。目前已在Sci. China: Math, Comm. Math. Phys., Arch. Ration. Mech. Anal., J. Funct. Anal., SIAM J. Math. Anal., Calc. Var.等重要数学期刊上发表论文多篇，出版专著四部，目前已获得国家自然科学基金三项面上项目资助。