Initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations
Analysis of PDEs
2025-08-05 v1
Abstract
An initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations is investigated. After transforming the system into Lagrangian coordinate, the resulting system possesses a structure with uniform characteristic boundary. By constructing an approximate system with non-characteristic boundary, we get a uniform global smooth solutions and obtain a global solution of the original problem by passing to a limit. Moreover, the global relaxation limit is also obtained.
Keywords
Cite
@article{arxiv.2508.01634,
title = {Initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations},
author = {Yuxi Hu and Yachun Li},
journal= {arXiv preprint arXiv:2508.01634},
year = {2025}
}