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Large deviation principle for stochastic convective Brinkman–Forchheimer equations perturbed by pure jump noise

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Abstract

This paper concerns some asymptotic analysis of stochastic convective Brinkman–Forchheimer (SCBF) equations subjected to multiplicative pure jump noise in two- and three-dimensional bounded domains. Using a weak convergence approach, we establish the Wentzell–Freidlin type large deviation principle for the strong solution to SCBF equations in a suitable Polish space.

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Acknowledgements

M. T. Mohan would like to thank the Department of Science and Technology (DST), India for Innovation in Science Pursuit for Inspired Research (INSPIRE) Faculty Award (IFA17-MA110). The author sincerely would like to thank the reviewers for their valuable comments and suggestions, which helped us to improve the manuscript significantly.

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  1. Department of Mathematics, Indian Institute of Technology Roorkee-IIT Roorkee, Haridwar Highway, Roorkee, Uttarakhand,  247667, India

    Manil T. Mohan

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Mohan, M.T. Large deviation principle for stochastic convective Brinkman–Forchheimer equations perturbed by pure jump noise. J. Evol. Equ. 21, 4931–4971 (2021). https://doi.org/10.1007/s00028-021-00736-9

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