Continuous data assimilation applied to the Rayleigh-Benard problem for compressible fluid flows
Analysis of PDEs
2025-10-24 v1
Abstract
We apply a continuous data assimilation method to the Navier-Stokes-Fourier system governing the evolution of a compressible, rotating and thermally driven fluid. A rigorous proof of the tracking property is given in the asymptotic regime of low Mach and high Rossby and Froude numbers. Large data in the framework of weak solutions are considered.
Cite
@article{arxiv.2510.20316,
title = {Continuous data assimilation applied to the Rayleigh-Benard problem for compressible fluid flows},
author = {Eduard Feireisl and Wladimir Neves},
journal= {arXiv preprint arXiv:2510.20316},
year = {2025}
}