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arXiv · 2607.04458

A continuous data assimilation method for a variant of Oberbeck-Boussinesq system with randomly perturbed data

Eduard Feireisl·Madalina Petcu
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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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Eduard Feireisl, Madalina Petcu. 2026-07-05. A continuous data assimilation method for a variant of Oberbeck-Boussinesq system with randomly perturbed data. https://arxiv.org/abs/2607.04458

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