Well-posedness of stochastic mSQG equations with Kraichnan noise and $L^p$ data
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929365379448832 |
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| author | Jiao, Shuaijie Luo, Dejun |
| author_facet | Jiao, Shuaijie Luo, Dejun |
| contents | We consider stochastic mSQG (modified Surface Quasi-Geostrophic) equations with multiplicative transport noise of Kraichnan type, and $L^p$-initial conditions. Inspired by the recent work of Coghi and Maurelli [arXiv:2308.03216], we show weak existence and pathwise uniqueness of solutions to the equations for suitable choices of parameters in the nonlinearity, the noise and the integrability of initial data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01045 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Well-posedness of stochastic mSQG equations with Kraichnan noise and $L^p$ data Jiao, Shuaijie Luo, Dejun Probability We consider stochastic mSQG (modified Surface Quasi-Geostrophic) equations with multiplicative transport noise of Kraichnan type, and $L^p$-initial conditions. Inspired by the recent work of Coghi and Maurelli [arXiv:2308.03216], we show weak existence and pathwise uniqueness of solutions to the equations for suitable choices of parameters in the nonlinearity, the noise and the integrability of initial data. |
| title | Well-posedness of stochastic mSQG equations with Kraichnan noise and $L^p$ data |
| topic | Probability |
| url | https://arxiv.org/abs/2405.01045 |