KIAM Main page Web Library  •  Publication Searh  Русский 
Publication

KIAM Preprint № 75, Moscow, 2012
Authors: Ilyin A. A., Rykov Y. G.
On a model system with a small parameter as a coefficient of the highest time derivative arising in the analysis of certain quasihydrodymamical systems
Abstract:
We study a model nonlinear hyperbolic system with a small parameter as a coefficient of the second-order time derivative. We show that its long time dynamics is approximated in terms of global attractors by the dynamics of the limiting parabolic system. The proximity of the individual trajectories essentially depends on their Fourier spectrum. The obtained results might be useful for the explanation of certain effects arising in the analysis of the quasi-gasdynamics systems.
Keywords:
singular perturbations, quasigasdynamical systems, hyperbolic systems
Publication language: russian,  страниц: 9
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
View statistics (updated once a day)
over the last 30 days — 0 (+0), total hit from 01.09.2019 — 0