Preventing Finite-Time Blowup in a Constrained Potential for Reaction-Diffusion Equations
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917704345059328 |
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| author | Ivanhoe, John Salins, Michael |
| author_facet | Ivanhoe, John Salins, Michael |
| contents | We examine stochastic reaction-diffusion equations of the form $\frac{\partial u}{\partial t} = \mathcal{A} u(t,x) + f(u(t,x)) + σ(u(t,x))\dot{W}(t,x)$ and provide sufficient conditions on the reaction term and multiplicative noise term that guarantees solutions never explode in finite time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15672 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Preventing Finite-Time Blowup in a Constrained Potential for Reaction-Diffusion Equations Ivanhoe, John Salins, Michael Probability 60H15 We examine stochastic reaction-diffusion equations of the form $\frac{\partial u}{\partial t} = \mathcal{A} u(t,x) + f(u(t,x)) + σ(u(t,x))\dot{W}(t,x)$ and provide sufficient conditions on the reaction term and multiplicative noise term that guarantees solutions never explode in finite time. |
| title | Preventing Finite-Time Blowup in a Constrained Potential for Reaction-Diffusion Equations |
| topic | Probability 60H15 |
| url | https://arxiv.org/abs/2406.15672 |