报告题目：Vanishing capillarity limit for a compressible fluid model of Korteweg type with slip boundary condition

报告摘要 In this talk, we consider the global well-posedness of the isentropic compressible Navier-Stokes-Korteweg (NSK) equations in conormal Sobolev spaces in the domain T^2×[0,1], where the velocity satisfies slip boundary condition and the density is supplemented with Neumann boundary condition. Moreover, we establish the uniform estimates of the global strong solution with respect to the capillarity coefficient. Based on the uniform estimates, the vanishing capillarity limit of the compressible Navier-Stokes Korteweg equations toward the compressible Navier-Stokes equations is justified.

报告人简介：张志朋，中国海洋大学数学科学学院副教授，主要从事流体力学中偏微分方程的理论研究，目前已在 SIAM J. Math. Anal.、Calc. Var. Partial Differential Equations及Nonlinearity等国际知名学术期刊上发表论文多篇。

报告时间和地点：2025年6月27日（周五），上午10：00--11：00

知新楼B座926

邀请人：陶涛