What is it about?
In this work we prove the existence and uniqueness of pathwise solutions up to a stopping time to the stochastic Euler equations perturbed by additive and multiplicative Lévy noise in two and three dimensions. The existence of a unique maximal solution is also proved.
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Why is it important?
Stochastic Euler equations perturbed by Levy noise has been considered for the first time and the solvability is established by using the Fourier truncation method.
Perspectives
The use of Fourier-harmonic analysis techniques clarify the abstract treatment of the noise covariance structure and other technical calculations found in the related literature. Moreover this work appears to be the first in establishing a unique solution to the stochastic Euler equations with jump noise.
Dr Manil T. Mohan
Indian Institute of Technology Roorkee
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This page is a summary of: Stochastic Euler equations of fluid dynamics with Lévy noise, Asymptotic Analysis, August 2016, IOS Press,
DOI: 10.3233/asy-161376.
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