1. Science Building #262 Yonsei University
연세대학교 응용해석 및 계산센터 세미나
Partial Differential Equations
and Applied Mathematics Seminar
Title
Decay properties of axially symmetric D-solutions to the steady Navier-Stokes equations
Speaker
Dr. Shangkun Weng
Affiliation
포스텍 수학과
Date
July 29th,Fri., 2:00~ 3:00 P.M.
Location
Science Building #262 Yonsei University
Abstract
In this talk, we investigate the decay properties of smooth axially symmetric D-solutions to the steady Navier-Stokes equations. The new achievements are two folds. One is improved decay rates of 𝑢 𝜃 and 𝛻 𝑢 especially we show that | 𝑢 𝜃 𝑟,𝑧 |≤𝑐 ( log 𝑟 𝑟 ) for any smooth axially symmetric D-solutions to the Navier-Stokes equations. Another is the first decay rate estimates in the Oz-direction for smooth axially symmetric flows without swirl. We do not need any small assumptions on the forcing term.