Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2310.11647 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917948877176832 |
|---|---|
| author | Dunlap, Alexander Gu, Yu |
| author_facet | Dunlap, Alexander Gu, Yu |
| contents | For the one dimensional Burgers equation with a random and periodic forcing, it is well-known that there exists a family of invariant measures, each corresponding to a different average velocity. In this paper, we consider the coupled invariant measures and study how they change as the velocity parameter varies. We show that the derivative of the invariant measure with respect to the velocity parameter exists, and it can be interpreted as the steady state of a diffusion advected by the Burgers flow |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_11647 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Jointly stationary solutions of periodic Burgers flow Dunlap, Alexander Gu, Yu Probability Mathematical Physics For the one dimensional Burgers equation with a random and periodic forcing, it is well-known that there exists a family of invariant measures, each corresponding to a different average velocity. In this paper, we consider the coupled invariant measures and study how they change as the velocity parameter varies. We show that the derivative of the invariant measure with respect to the velocity parameter exists, and it can be interpreted as the steady state of a diffusion advected by the Burgers flow |
| title | Jointly stationary solutions of periodic Burgers flow |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2310.11647 |