Compressible Euler equations with transport noise
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911285134753792 |
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| author | Boadi, Richard Breit, Dominic Moyo, Thamsanqa Castern |
| author_facet | Boadi, Richard Breit, Dominic Moyo, Thamsanqa Castern |
| contents | We study the isentropic compressible Euler equations in multi-dimensions with stochastic perturbation of transport type. On the one hand, this is motivated by the physical modelling in turbulence theory. On the other hand, it has been shown recently that this type of noise can have regularising effects. In this paper, we prove the existence of dissipative measure-valued martingale solutions, the weak-strong uniqueness property and the existence of Markov selections. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_20131 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Compressible Euler equations with transport noise Boadi, Richard Breit, Dominic Moyo, Thamsanqa Castern Analysis of PDEs Probability We study the isentropic compressible Euler equations in multi-dimensions with stochastic perturbation of transport type. On the one hand, this is motivated by the physical modelling in turbulence theory. On the other hand, it has been shown recently that this type of noise can have regularising effects. In this paper, we prove the existence of dissipative measure-valued martingale solutions, the weak-strong uniqueness property and the existence of Markov selections. |
| title | Compressible Euler equations with transport noise |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2511.20131 |