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Showing 1 to 1 of 1 for “"bounded smooth domain"”.
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Global Regularity for Euler Vortex Patch in Bounded Smooth Domains
… regular if it is regular enough initially. In bounded domains, the regularity theory for patch solutions is less complete. In this thesis, I study the Euler vortex patch in a general smooth bounded domain. I prove global in time regularity by providing the upper bound of the growth on curvature …