๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Nonlinear Stability with Decay Rate for Traveling Wave Solutions of a Hyperbolic System with Relaxation

โœ Scribed by Paulo R. Zingano

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
617 KB
Volume
130
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

โœฆ Synopsis

We derive decay estimates for small disturbances of smooth traveling wave solutions of a one-dimensional, strictly hyperbolic system of partial differential equations with a zeroth order term which models relaxation in a number of physical systems.

๐Ÿ“œ SIMILAR VOLUMES

Stability of travelling wave solutions t
Stability of travelling wave solutions to a semilinear hyperbolic system with relaxation
โœ Yoshihiro Ueda ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 144 KB

## Abstract We study a semilinear hyperbolic system with relaxation and investigate the asymptotic stability of travelling wave solutions with shock profile. It is shown that the travelling wave solution is asymptotically stable, provided the initial disturbance is suitably small. Moreover, we show

Nonlinear Stability of Travelling Wave S
Nonlinear Stability of Travelling Wave Solutions for Viscoelastic Materials with Fading Memory
โœ Harumi Hattori; Shuichi Kawashima ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 686 KB

In this paper, we shall discuss the stability of smooth monotone travelling wave solutions for viscoelastic materials with memory. It is known that a smooth monotone travelling wave solution exists for (1.1) if the end states are close and satisfy the Rankine Hugoniot condition. For such a travellin