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arxiv: 1412.6381 · v1 · pith:VCOONLPQnew · submitted 2014-12-19 · 🧮 math.PR · math.AP

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

classification 🧮 math.PR math.AP
keywords beenexistenceinvariantmagneto-hydrodynamicmeasuressystemargumentsexponential
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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.

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