Properties of the averaging along the characteristics hyperbolic of the system operator
Articles
Aleksandras Krylovas
Vilniaus Gedimino technikos universitetas
Olga Lavcel-Budko
Vilniaus Gedimino technikos universitetas
Published 2012-12-25
https://doi.org/10.15388/LMR.B.2012.05
PDF (Lithuanian)

Keywords

asymptotical methods
averaging
nonlinearwaves
hyperbolic system

How to Cite

Krylovas, A. and Lavcel-Budko, O. (2012) “Properties of the averaging along the characteristics hyperbolic of the system operator”, Lietuvos matematikos rinkinys, 53(B), pp. 25–30. doi:10.15388/LMR.B.2012.05.

Abstract

Examing the averaged equations system with periodic initial conditions. Proved the lemmas, which allow to reorganize the system in to the form similar to a semi-linear hyperbolic system written in Riemann invariants. This allows to set conditions for the existence of the solution.

PDF (Lithuanian)

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