The inviscid inflow-outflow problem via analyticity
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913686903324672 |
|---|---|
| author | Kukavica, Igor Ożański, Wojciech Sammartino, Marco |
| author_facet | Kukavica, Igor Ożański, Wojciech Sammartino, Marco |
| contents | We consider the incompressible Euler equation on an analytic domain $Ω$ with nonhomogeneous boundary condition $u\cdot \mathsf{n} = \overline{u} \cdot \mathsf{n}$ on $\partial Ω$, where $\overline{u}$ is a given divergence-free analytic vector field. We establish local well-posedness for $u$ in analytic spaces without any compatibility conditions in all space dimensions. We also prove global well-posedness in the 2D case if $\overline{u}$ decays in time sufficiently fast. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_20439 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The inviscid inflow-outflow problem via analyticity Kukavica, Igor Ożański, Wojciech Sammartino, Marco Analysis of PDEs We consider the incompressible Euler equation on an analytic domain $Ω$ with nonhomogeneous boundary condition $u\cdot \mathsf{n} = \overline{u} \cdot \mathsf{n}$ on $\partial Ω$, where $\overline{u}$ is a given divergence-free analytic vector field. We establish local well-posedness for $u$ in analytic spaces without any compatibility conditions in all space dimensions. We also prove global well-posedness in the 2D case if $\overline{u}$ decays in time sufficiently fast. |
| title | The inviscid inflow-outflow problem via analyticity |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2310.20439 |