Stochastic 1d Burgers equation as a model for hydrodynamical turbulence
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916452538253312 |
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| author | Kuksin, Sergei |
| author_facet | Kuksin, Sergei |
| contents | This work is a review with proofs of a group of results on the stochastic Burgers equation with small viscosity, obtained during the last two decades. These results jointly show that the equation makes a surprisingly good model of hydrodynamical turbulence. The model provides natural and rigorously justified analogies of a number of key predictions of the theory of turbulence, including the main assertions of the Kolmogorov approach to turbulence, known as the K41 theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_10105 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stochastic 1d Burgers equation as a model for hydrodynamical turbulence Kuksin, Sergei Mathematical Physics This work is a review with proofs of a group of results on the stochastic Burgers equation with small viscosity, obtained during the last two decades. These results jointly show that the equation makes a surprisingly good model of hydrodynamical turbulence. The model provides natural and rigorously justified analogies of a number of key predictions of the theory of turbulence, including the main assertions of the Kolmogorov approach to turbulence, known as the K41 theory. |
| title | Stochastic 1d Burgers equation as a model for hydrodynamical turbulence |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2310.10105 |