Stationary solutions to stochastic 3D Euler equations in Hölder space
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915290449707008 |
|---|---|
| author | Lü, Lin Zhu, Rongchan |
| author_facet | Lü, Lin Zhu, Rongchan |
| contents | We establish the existence of infinitely many global and stationary solutions in $C(\mathbb{R};C^{\vartheta})$ space for some $\vartheta>0$ to the three dimensional Euler equations driven by an additive noise. The result is based on a new stochastic version of the convex integration method, incorporating the stochastic convex integration method developed in \cite{HZZ22b} and pathwise estimates to derive uniform moment estimates independent of time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09894 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stationary solutions to stochastic 3D Euler equations in Hölder space Lü, Lin Zhu, Rongchan Probability Analysis of PDEs We establish the existence of infinitely many global and stationary solutions in $C(\mathbb{R};C^{\vartheta})$ space for some $\vartheta>0$ to the three dimensional Euler equations driven by an additive noise. The result is based on a new stochastic version of the convex integration method, incorporating the stochastic convex integration method developed in \cite{HZZ22b} and pathwise estimates to derive uniform moment estimates independent of time. |
| title | Stationary solutions to stochastic 3D Euler equations in Hölder space |
| topic | Probability Analysis of PDEs |
| url | https://arxiv.org/abs/2401.09894 |