Stability of Inflow Problem for Hyperbolic Systems
Analysis of PDEs
2026-04-21 v1
Abstract
Inflow BC plays a critical role in the study of hyperbolic PDE in a bounded domain. We establish stability for 1D hyperbolic conservation laws with inflow data in a bounded interval, and stability of a large class of shear flows for the 3D incompressible Euler system with inflow BC in finite square or circular pipes.
Cite
@article{arxiv.2604.17334,
title = {Stability of Inflow Problem for Hyperbolic Systems},
author = {Yan Guo and Yanjin Wang},
journal= {arXiv preprint arXiv:2604.17334},
year = {2026}
}