1D Hyperbolic Systems with Nonlinear Boundary Conditions II: Criteria for Finite Time Stability
Analysis of PDEs
2025-12-10 v1
Abstract
We investigate the finite time stability property of one-dimensional nonautonomous initial boundary value problems for linear decoupled hyperbolic systems with nonlinear boundary conditions. We establish sufficient and necessary conditions under which continuous or -generalized solutions stabilize to zero in a finite time. Our criteria are expressed in terms of a propagation operator along characteristic curves.
Keywords
Cite
@article{arxiv.2208.00858,
title = {1D Hyperbolic Systems with Nonlinear Boundary Conditions II: Criteria for Finite Time Stability},
author = {Irina Kmit},
journal= {arXiv preprint arXiv:2208.00858},
year = {2025}
}