Stochastic Euler equations of fluid dynamics with Lévy noise

Article type: Research Article

Authors: Mohan, Manil T.^a | Sritharan, Sivaguru S.^{b; *}

Affiliations: [a] Department of Mathematics and Statistics, Air Force Institute of Technology, 2950 Hobson Way, Wright Patterson Air Force Base, OH 45433, USA. E-mail: manil.thankamanimohan@afit.edu | [b] Office of the Vice Chancellor & Provost, Air Force Institute of Technology, 2950 Hobson Way, Wright Patterson Air Force Base, OH 45433, USA. E-mail: sivaguru.sritharan@afit.edu

Correspondence: [*] Corresponding author. E-mail: sivaguru.sritharan@afit.edu.

Abstract: 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.

Keywords: Euler equations of fluid dynamics, Lévy process, commutator estimates

DOI: 10.3233/ASY-161376

Journal: Asymptotic Analysis, vol. 99, no. 1-2, pp. 67-103, 2016