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홈 > 학술정보 >학술행사 > 세미나
한국고등과학원 세미나

Title
[CMC Seminar] Well-posedness of the Euler equations in critical spaces under symmetry
Speaker
Jeong, In-Jee   (Princeton University )
Date
2017-06-30 16:00:00
Host
KIAS
Place
8101
Abstract
We show well-posedness (local in 3D and global in 2D) of the incompressible Euler equations in scaling critical spaces, under an appropriate symmetry assumption on the initial vorticity. As a particular case, a system of one less dimension describing the evolution of radially homogeneous vorticity is obtained. We establish a general result stating that given a solution to the lower dimensional system, there exist solutions to the Euler equations, which can be compactly supported, with the ``same dynamical properties''. As an application of the critical spaces introduced here, we show global well-posedness of vortex patches with corners meeting symmetrically at the origin. This is based on joint works with Tarek Elgindi.
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