On a stochastic Leray- model of Euler equations
| Autor: | Benedetta Ferrario, Hakima Bessaih, David Barbato |
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| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Statistics and Probability
Stratonovich integral Conservation of energy 35Q31 60H15 35Q35 Applied Mathematics Mathematical analysis Mathematics::Analysis of PDEs Random perturbation Multiplicative noise Euler equations Term (time) symbols.namesake Inviscid flow Modeling and Simulation symbols Energy (signal processing) Mathematics - Probability Mathematics |
| Popis: | We deal with the 3D inviscid Leray-{\alpha} model. The well posedness for this problem is not known; by adding a random perturbation we prove that there exists a unique (in law) global solution. The random forcing term formally preserves conservation of energy. The result holds for initial velocity of finite energy and the solution has finite energy a.s.. These results are easily extended to the 2D case. Comment: 25 pages; a reference updated;few comments added |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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