The Euler equations of an inviscid incompressible fluid driven by a Lévy noise

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Our aim in this article is to show the local existence of pathwise solutions of the Euler equations driven by a general Lévy noise, in all space dimensions and for strictly positive time almost surely. The Euler equations are considered in a regular domain with slip boundary condition, or with periodic boundary conditions or in the whole space. In addition, we prove that when all data are C∞ in space, so is the solution.

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This record is for a(n) postprint of an article published in Nonlinear Analysis: Real World Applications on 2018-01-26; the version of record is available at https://doi.org/10.1016/j.nonrwa.2018.04.002.

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Cyr, Justin, et al. "The Euler equations of an inviscid incompressible fluid driven by a Lévy noise." Nonlinear Analysis: Real World Applications, vol. 44, pp. 173-222, 2018-1-26, https://doi.org/10.1016/j.nonrwa.2018.04.002.

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Nonlinear Analysis: Real World Applications

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