Conservative stochastic PDEs on the whole space
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866916417263108096 |
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| author | Fehrman, Benjamin Gess, Benjamin |
| author_facet | Fehrman, Benjamin Gess, Benjamin |
| contents | The purpose of this paper is to establish a well-posedness theory for conservative stochastic partial differential equations on the whole space. This class of stochastic PDEs arises in fluctuating hydrodynamics, and includes the Dean--Kawasaki equation with correlated noise. In combination with the analysis of the authors and Heydecker [35], the connection between fluctuating hydrodynamics and macroscopic fluctuation theory in the context of the zero range particle process is made rigorous. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00254 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conservative stochastic PDEs on the whole space Fehrman, Benjamin Gess, Benjamin Probability Analysis of PDEs The purpose of this paper is to establish a well-posedness theory for conservative stochastic partial differential equations on the whole space. This class of stochastic PDEs arises in fluctuating hydrodynamics, and includes the Dean--Kawasaki equation with correlated noise. In combination with the analysis of the authors and Heydecker [35], the connection between fluctuating hydrodynamics and macroscopic fluctuation theory in the context of the zero range particle process is made rigorous. |
| title | Conservative stochastic PDEs on the whole space |
| topic | Probability Analysis of PDEs |
| url | https://arxiv.org/abs/2410.00254 |