Global solutions and uniform convergence stability for compressible Navier-Stokes equations with oldroyd-type constitutive law
Analysis of PDEs
2025-09-18 v2
Abstract
We consider one dimensional isentropic compressible Navier-Stokes equations with Oldroyd-type constitutive law. By establishing uniform a priori estimates (with respect to relaxation time), we show global existence of smooth solutions with small initial data. Moreover, we get global-in-time convergence of the system towards the classical isentropic compressible Navier-Stokes equations.
Keywords
Cite
@article{arxiv.2406.14943,
title = {Global solutions and uniform convergence stability for compressible Navier-Stokes equations with oldroyd-type constitutive law},
author = {Na Wang and Sébastien Boyaval and Yuxi Hu},
journal= {arXiv preprint arXiv:2406.14943},
year = {2025}
}