Continuous data assimilation applied to the Rayleigh-Benard problem for compressible fluid flows

Fuente: arXiv
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Main Authors: Feireisl, Eduard, Neves, Wladimir
Format: Preprint
Published: 2025
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author Feireisl, Eduard
Neves, Wladimir
author_facet Feireisl, Eduard
Neves, Wladimir
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_20316
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Continuous data assimilation applied to the Rayleigh-Benard problem for compressible fluid flows
Feireisl, Eduard
Neves, Wladimir
Analysis of PDEs
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.
title Continuous data assimilation applied to the Rayleigh-Benard problem for compressible fluid flows
topic Analysis of PDEs
url https://arxiv.org/abs/2510.20316