Data assimilation for the barotropic Navier-Stokes system
Analysis of PDEs
2026-03-24 v1
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.
Cite
@article{arxiv.2603.20440,
title = {Data assimilation for the barotropic Navier-Stokes system},
author = {Eduard Feireisl},
journal= {arXiv preprint arXiv:2603.20440},
year = {2026}
}