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| 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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