Open Access
2000 On Stochastic Euler equation in $\mathbb{R}^d$
R. Mikulevicius, G. Valiukevicius
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Electron. J. Probab. 5: 1-20 (2000). DOI: 10.1214/EJP.v5-62


Following the Arnold-Marsden-Ebin approach, we prove local (global in 2-D) existence and uniqueness of classical (Hölder class) solutions of stochastic Euler equation with random forcing.


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R. Mikulevicius. G. Valiukevicius. "On Stochastic Euler equation in $\mathbb{R}^d$." Electron. J. Probab. 5 1 - 20, 2000.


Accepted: 17 February 2000; Published: 2000
First available in Project Euclid: 7 March 2016

zbMATH: 0953.60052
MathSciNet: MR1747615
Digital Object Identifier: 10.1214/EJP.v5-62

Primary: 60H15
Secondary: 35K15

Keywords: Euler equation , Stochastic partial differential equations

Vol.5 • 2000
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