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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.06161 |
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| _version_ | 1866911232284426240 |
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| author | Espitia, Claudia Mollinedo, David A. C. Olivera, Christian |
| author_facet | Espitia, Claudia Mollinedo, David A. C. Olivera, Christian |
| contents | In this paper we study the stochastic inhomogeneous incompressible Euler equations in the whole space $\RR^3$. We prove the existence and pathwise uniqueness of local solutions with both additive and multiplicative stochastic noise. Our approach is based on reducing our problem to a random problem and some estimations for type transport equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06161 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On local well-posedness of the stochastic incompressible density-dependent Euler equations Espitia, Claudia Mollinedo, David A. C. Olivera, Christian Analysis of PDEs In this paper we study the stochastic inhomogeneous incompressible Euler equations in the whole space $\RR^3$. We prove the existence and pathwise uniqueness of local solutions with both additive and multiplicative stochastic noise. Our approach is based on reducing our problem to a random problem and some estimations for type transport equations. |
| title | On local well-posedness of the stochastic incompressible density-dependent Euler equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2406.06161 |