Asymptotic approximation of hyperbolic weakly nonlinear systems

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dc.creatorKrylovas, A.
dc.creatorCiegis, R.
dc.date2002-09-30
dc.date.accessioned2026-07-07T04:29:27Z
dc.date.available2026-07-07T04:29:27Z
dc.descriptionAn 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.
dc.descriptionarXiv version is already official
dc.identifierhttps://arxiv.org/abs/math-ph/0209064
dc.identifierhttp://arxiv.org/abs/math-ph/0209064
dc.identifierJ. Nonlinear Math. Phys. 8 (2001), no.4, 458-470
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57162
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.titleAsymptotic approximation of hyperbolic weakly nonlinear systems
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