Asymptotic approximation of hyperbolic weakly nonlinear systems
Mathematical Physics
2007-05-23 v1 Analysis of PDEs
math.MP
Abstract
An averaging method for getting uniformly valid asymptotic approximations of the solution of hyperbolic systems of equations is presented. The averaged system of equations disintegrates into independent equations for non-resonance systems. We consider the resonance conditions for some classes of solutions. The averaged system can be solved numerically in the resonance case. The shallow water problem is considered as an example of the resonance system. Results of numerical experiments are presented.
Cite
@article{arxiv.math-ph/0209064,
title = {Asymptotic approximation of hyperbolic weakly nonlinear systems},
author = {A. Krylovas and R. Ciegis},
journal= {arXiv preprint arXiv:math-ph/0209064},
year = {2007}
}
Comments
arXiv version is already official