A continuous data assimilation method for a variant of Oberbeck-Boussinesq system with randomly perturbed data
Abstract
We show convergence of a continuous data assimilation method for the Oberbeck-Boussinesq system in the dimension d=2,3. Our working hypothesis is boundedness of the reference solution, while the synchronized solution satisfies the equations in a weak sense. The main tool is the relative energy inequality for stochastic problems.
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