Averaging Method for Quasi-Linear Hyperbolic Systems

被引：0
|
作者：
Levenshtam, V. B. [1 ,2 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia
[2] Southern Fed Univ, Rostov Na Donu, Russia
来源：
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 30卷 / 04期
基金：
俄罗斯科学基金会;
关键词：
EQUATIONS;
D O I：
10.1134/S1061920823040118
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The paper considers the Cauchy problem for a multidimensional quasilinear hyperbolic system of differential equations with the data rapidly oscillating in time. This data do not explicitly depend on spatial variables. The method by N. M. Krylov-N. N. Bogolyubov is developed and justified for these systems. Also an algorithm is developed and justified, based on this method and the method of two-scale expansions, for constructing the complete asymptotics of solutions. DOI 10.1134/S1061920823040118
引用
收藏
页码：552 / 560
页数：9
相关论文
共 50 条
12345