报告题目：Global classical solutions to the 3D compressible Navier-Stokes-Korteweg equations with arbitrarily large initial data
报告人：黄祥娣 （中国科学院数学与系统科学研究院）
时间：
2026年3月18日（周三）下午3:00
地点：文北楼104
摘要：
In 1901, Korteweg formulated a constitutive equation for the Cauchy stress tensor to provide a continuum mechanical model for capillarity within fluids. Dunn and Serrin in 1984 further modified the system of compressible fluids based on the Korteweg theory of capillarity. Since then, for the 3D Navier-Stokes-Korteweg system, the global existence of classical solutions with arbitrarily large initial data have remained a challenging open problem. In this report, we give an affirmative answer to this longstanding open problem. To best of our knowledge, this is the first existence result of global classical solutions for the compressible fluid dynamics with physical significance in general three-dimensional case with arbitrarily large initial data.
邀请人：于品
