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A central limit theorem and moderate deviation principle for the stochastic 2D Oldroyd model of order one

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Abstract

In this work, we discuss some asymptotic behavior of the stochastic two-dimensional viscoelastic fluid flow equations, arising from the Oldroyd model of order one, for the non-Newtonian fluid flows. We prove a central limit theorem and establish the moderate deviation principle for such models using a weak convergence method.

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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 reviewer for his/her valuable comments and suggestions.

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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. A central limit theorem and moderate deviation principle for the stochastic 2D Oldroyd model of order one. Stoch PDE: Anal Comp 9, 510–558 (2021). https://doi.org/10.1007/s40072-020-00176-5

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