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Stochastic Navier-Stokes Equations on a Thin Spherical Domain.

Authors:
Zdzisław Brzeźniak Gaurav Dhariwal Quoc Thong Le Gia

Appl Math Optim 2021 11;84(2):1971-2035. Epub 2020 Jul 11.

School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052 Australia.

Incompressible Navier-Stokes equations on a thin spherical domain along with free boundary conditions under a random forcing are considered. The convergence of the martingale solution of these equations to the martingale solution of the stochastic Navier-Stokes equations on a sphere as the thickness converges to zero is established.

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http://dx.doi.org/10.1007/s00245-020-09702-2DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550046PMC
July 2020

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