Dissipative Boundary Conditions For Nonlinear 1-D Hyperbolic Systems: Sharp Conditions Through An Approach Via Time-Delay SystemsReportar como inadecuado




Dissipative Boundary Conditions For Nonlinear 1-D Hyperbolic Systems: Sharp Conditions Through An Approach Via Time-Delay Systems - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Published in: Siam Journal On Mathematical Analysis (ISSN: 0036-1410), vol. 47, num. 3, p. 2220-2240 Philadelphia: Society for Industrial and Applied Mathematics, 2015

We analyze dissipative boundary conditions for nonlinear hyperbolic systems in one space dimension. We show that a known sufficient condition for exponential stability with respect to the H-2-norm is not sufficient for the exponential stability with respect to the C-1-norm. Hence, due to the nonlinearity, even in the case of classical solutions, the exponential stability depends strongly on the norm considered. We also give a new sufficient condition for the exponential stability with respect to the W-2,W-p-norm. The methods used are inspired from the theory of the linear time-delay systems and incorporate the characteristic method.

Keywords: hyperbolic systems ; dissipative boundary conditions ; exponential stability ; time-delay systems ; nonlinearities Reference EPFL-ARTICLE-212370doi:10.1137/140976625View record in Web of Science





Autor: Coron, Jean-Michel; Nguyên, Hoài-Minh

Fuente: https://infoscience.epfl.ch/record/212370?ln=en







Documentos relacionados