Global solutions for stochastically controlled fluid dynamics models
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914709117075456 |
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| author | Crisan, Dan Lang, Oana |
| author_facet | Crisan, Dan Lang, Oana |
| contents | For a class of evolution equations that possibly have only local solutions, we introduce a stochastic component that ensures that the solutions of the corresponding stochastically perturbed equations are global. The class of partial differential equations amenable for this type of treatment includes the 3D Navier-Stokes equation, the rotating shallow water equation (viscous and inviscid), 3D Euler equation (in vorticity form), 2D Burgers' equation and many other fluid dynamics models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05923 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global solutions for stochastically controlled fluid dynamics models Crisan, Dan Lang, Oana Analysis of PDEs Dynamical Systems Functional Analysis Probability For a class of evolution equations that possibly have only local solutions, we introduce a stochastic component that ensures that the solutions of the corresponding stochastically perturbed equations are global. The class of partial differential equations amenable for this type of treatment includes the 3D Navier-Stokes equation, the rotating shallow water equation (viscous and inviscid), 3D Euler equation (in vorticity form), 2D Burgers' equation and many other fluid dynamics models. |
| title | Global solutions for stochastically controlled fluid dynamics models |
| topic | Analysis of PDEs Dynamical Systems Functional Analysis Probability |
| url | https://arxiv.org/abs/2403.05923 |