报告人： Dr. Jeaheang Bang (Westlake University)
报告时间和地点：3月20日 上午10:00-11:00, 维格堂319.
摘要：Solutions, with scaling-invariant bounds, to the steady Navier-Stokes equations play an important role to study the asymptotic behavior of a solution at infinity, and so it has been studied to some degree. With Changyou Wang, we studied solutions, with scaling-invariant bounds, to the steady simplified Ericksen-Leslie system in Rn \ {0}, a system strongly coupling the forced Navier-Stokes equations with the transported heat flow of harmonic maps into the unit sphere. When n = 2, we constructed and classified a class of self-similar solutions. When n ≥ 3, we established the rigidity asserting that if (u, d) satisfies a scaling-invariant bound with a small constant, then u ≡ 0 and d = constant for n ≥ 4 or u is a Landau solution and d = constant for n = 3. Such a smallness condition can be weaken when n = 4 or the solutions are self-similar.
报告人简介：Jeaheang (Jay) Bang earned his Ph.D. from Rutgers University-New Brunswick in 2021 under the supervision of Yanyan Li, and he worked as a postdoctoral scholar at the University of Texas at San Antonio with his mentor Changfeng Gui from 2021 to 2023. Then he worked as a visiting assistant professor at Purdue University in Spring 2024 before joining the Institute for Theoretical Sciences, Westlake University as a postdoctoral scholar in September 2024.
邀请人：王云