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Euler Equations in Sobolev conormal spaces (2407.18149v1)
Published 25 Jul 2024 in math.AP
Abstract: We consider the three-dimensional incompressible Euler equations in Sobolev conormal spaces and establish local-in-time existence and uniqueness in the half-space or channel. The initial data is Lipschitz having four square-integrable conormal derivatives and two bounded conormal derivatives. We do not impose any integrability or differentiability assumption for the normal derivative.
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