Euler Equations in Sobolev conormal spaces

Mustafa Sencer Aydın; Igor Kukavica

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arXiv · 2407.18149

Euler Equations in Sobolev conormal spaces

Mustafa Sencer Aydın·Igor Kukavica

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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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Mustafa Sencer Aydın, Igor Kukavica. 2024-07-25. Euler Equations in Sobolev conormal spaces. https://arxiv.org/abs/2407.18149

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