Euler equations in Sobolev conormal spaces
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.
Authors
- Igor Kukavica (ORCID: https://orcid.org/0000-0002-9234-2758)
- Mustafa Sencer Aydın (ORCID: https://orcid.org/0000-0003-3934-5519)
Institutions
- University of Southern California (US)
Publication Details
- Journal
- Research in the Mathematical Sciences
- Published
- 2025-05-03
- DOI
- https://doi.org/10.1007/s40687-025-00512-y
- Citations
- 1
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 3.69
Funders
- National Science Foundation
- University of Southern California