Substantiation of asymptotical solution of weakly nonlinear hyperbolic system
A hyperbolic system of first order partial differential equations with small parameter and periodical initial conditions is obtained. The uniformly valid in a long time interval asymptotical solution can be constructed using the averaging along characteristics of the system. The asymptotical estima...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2023-09-01
|
| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/30572 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1825197271597187072 |
|---|---|
| author | Aleksandras Krylovas |
| author_facet | Aleksandras Krylovas |
| author_sort | Aleksandras Krylovas |
| collection | DOAJ |
| description |
A hyperbolic system of first order partial differential equations with small parameter and periodical initial conditions is obtained. The uniformly valid in a long time interval asymptotical solution can be constructed using the averaging along characteristics of the system. The asymptotical estimation of the approximation is made in the paper. Some aspects of practical realization of the method are discussed in the work too.
|
| format | Article |
| id | doaj-art-bff7ac6bb70c4cdda60372aaa4a892a8 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2023-09-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-bff7ac6bb70c4cdda60372aaa4a892a82025-02-11T18:12:58ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2023-09-0146spec.10.15388/LMR.2006.30572Substantiation of asymptotical solution of weakly nonlinear hyperbolic systemAleksandras Krylovas0Vilnius Gedimino Technical University A hyperbolic system of first order partial differential equations with small parameter and periodical initial conditions is obtained. The uniformly valid in a long time interval asymptotical solution can be constructed using the averaging along characteristics of the system. The asymptotical estimation of the approximation is made in the paper. Some aspects of practical realization of the method are discussed in the work too. https://www.zurnalai.vu.lt/LMR/article/view/30572perturbation methodsaveragingresonanceshyperbolic systems |
| spellingShingle | Aleksandras Krylovas Substantiation of asymptotical solution of weakly nonlinear hyperbolic system Lietuvos Matematikos Rinkinys perturbation methods averaging resonances hyperbolic systems |
| title | Substantiation of asymptotical solution of weakly nonlinear hyperbolic system |
| title_full | Substantiation of asymptotical solution of weakly nonlinear hyperbolic system |
| title_fullStr | Substantiation of asymptotical solution of weakly nonlinear hyperbolic system |
| title_full_unstemmed | Substantiation of asymptotical solution of weakly nonlinear hyperbolic system |
| title_short | Substantiation of asymptotical solution of weakly nonlinear hyperbolic system |
| title_sort | substantiation of asymptotical solution of weakly nonlinear hyperbolic system |
| topic | perturbation methods averaging resonances hyperbolic systems |
| url | https://www.zurnalai.vu.lt/LMR/article/view/30572 |
| work_keys_str_mv | AT aleksandraskrylovas substantiationofasymptoticalsolutionofweaklynonlinearhyperbolicsystem |