报告人:张志朋(中国海洋大学)
时间:2024年05月14日 16:00-
地址:理科楼LA106
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^2x[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, we prove that the strong solution of the isentropic compressible NSK equations converges globally in time to the strong solution of the isentropic compressible Navier-Stokes equations as the capillarity coefficient tends to zero.
简介:张志朋,中国海洋大学副教授,博士毕业于南京大学,曾在北京应用物理与计算数学研究所从事博士后研究工作。研究方向为偏微分方程,已在Calc. Var. Partial Differential Equations,SIAM J. Math. Anal. ,Nonlinearity等杂志上发表多篇论文。
邀请人: 王华桥
欢迎广大师生积极参与!