Invariant measure of stochastic higher order KdV equation driven by Poisson processes

نویسندگان

چکیده

The current paper is devoted to stochastic damped higher order KdV equation driven by Poisson process. We establish the well-posedness of higher-order equation, and prove that there exists an unique invariant measure for non-random initial conditions. Some discussion on general pure jump noise case are also provided. numerical simulations provided support theoretical results.

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ژورنال

عنوان ژورنال: Mathematical Modelling of Natural Phenomena

سال: 2021

ISSN: ['1760-6101', '0973-5348']

DOI: https://doi.org/10.1051/mmnp/2021041