arXiv:1412.6381 Abstract | arXiv Analytics

arXiv:1412.6381 [math.PR]Abstract References Reviews Resources

2-D Magneto-Hydrodynamic System with Jump Processes: Well Posedness and Invariant Measures

Published 2014-12-19Version 1

In this work we prove the existence and uniqueness of the strong solution to the two-dimensional stochastic magneto-hydrodynamic system perturbed by Levy noise. The local monotonicity arguments have been ex- ploited in the proofs. The existence of a unique invariant measures has been proved using the exponential stability of solutions.

Comments: 25 pages

Journal: Communications on Stochastic Analysis, Vol. 7, No. 1 (2013) 153-178

Categories: math.PR, math.AP

Subjects: 60H15, 35Q35, 76D03, 76D06

Keywords: jump processes, two-dimensional stochastic magneto-hydrodynamic system, local monotonicity arguments, unique invariant measures, strong solution

Tags: journal article

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