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Seminar
FIELD Math:Analysis
DATE January 06 (Wed), 2021
TIME 15:00-17:00
PLACE Online
SPEAKER Hantaek Bae
HOST Jeong, In-Jee
INSTITUTE UNIST
TITLE Gevrey Regularity for Some Fluid Equations
ABSTRACT In this talk, we establish Gevrey regularity of solutions to several fluid equations.
First of all, we show analyticity of solutions to the Navier-Stokes equations (incompressible, inhomogeneous incompressible, compressible) via modified-Gevrey regularity approach.
We then take some models derived from the equations of water-waves. We first deal with Kakutani-Matsuuchi model and explain how to derive decay rates of solutions by establishing Gevrey regularity of order $s<1$. We next prove singularity formation of Green-Naghdi model after showing analyticity of solutions. We finally discuss how to prove ill-posedness of Ambose-?Bona-Nicholls model.
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