A suitable nonlinear Stratonovich noise prevents blow-up in the Euler equations and other SPDEs
| Autor: | Bagnara, Marco |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We perturb the 3D Euler equations by a particular non-linear Stratonovich noise. We show the existence and uniqueness of a global-in-time (i.e. no blow-up) smooth solution. The result is a corollary of a more general theorem valid in an abstract framework, where the addition of such noise prevents the blow-up possibly induced by a drift with super-linear growth. The result is new with Stratonovich noise. Comment: Improved result; corrected typos |
| Databáze: | arXiv |
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