Euler Equations in Sobolev conormal spaces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866916336306749440 |
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| author | Aydın, Mustafa Sencer Kukavica, Igor |
| author_facet | Aydın, Mustafa Sencer Kukavica, Igor |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18149 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Euler Equations in Sobolev conormal spaces Aydın, Mustafa Sencer Kukavica, Igor Analysis of PDEs 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. |
| title | Euler Equations in Sobolev conormal spaces |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2407.18149 |