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arXiv · 2603.20440

Data assimilation for the barotropic Navier-Stokes system

Eduard Feireisl
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Abstract

We consider a continuous data assimilation method for the barotropic Navier--Stokes system. The observed solution is supposed to be bounded on the whole time period of observation, while the synchronized solution, usually provided by a numerical method, belongs to the class of dissipative solutions that is considerably larger than the class of conventional weak solutions. A complete synchronization is shown on any compact prediction interval provided the nudging parameters are chosen appropriately.

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Eduard Feireisl. 2026-03-20. Data assimilation for the barotropic Navier-Stokes system. https://arxiv.org/abs/2603.20440

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