Science Building #262 Yonsei University

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Presentation transcript:

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 ) 1 2 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.