Partially congested propagation fronts in one-dimensional Navier-Stokes equations
Analysis of PDEs
2021-05-05 v1
Abstract
These notes are dedicated to the analysis of the one-dimensional free-congested Navier-Stokes equations. After a brief synthesis of the results obtained in [4] related to the existence and the asymptotic stability of partially congested profiles associated to the soft congestion Navier-Stokes system, we present a first local well-posedness result for the one-dimensional free-congested Navier-Stokes equations.
Cite
@article{arxiv.2105.01336,
title = {Partially congested propagation fronts in one-dimensional Navier-Stokes equations},
author = {Anne-Laure Dalibard and Charlotte Perrin},
journal= {arXiv preprint arXiv:2105.01336},
year = {2021}
}