Asymptotic methods in the theory of nonlinear wave propagation

被引：0

作者：

Varlamov, V ^{[1
]}

机构：

[1] Univ Texas, Dept Math, Austin, TX 78712 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 03期

关键词：

nonlinear waves; Boussinesq equation; Kuramoto-Sivashinsky equation; long-time asymptotics;

D O I：

10.1016/S0362-546X(01)00341-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Cauchy and initial-boundary value problems are considered for the dissipative semilinear evolution equations governing wave propagation. Their solutions are constructed in the form of a series in a small parameter present in the initial conditions. The long-time asymptotics is obtained which is essentially nonlinear.

引用

页码：2151 / 2161

页数：11

共 9 条

[1]

BERNEY DJ, 1966, J MATH PHYS, V45, P150

[2]

Boussinesq J., 1872, J. Math. Pures Appl, V17, P55

[3]

Guenther R. B., 1988, PARTIAL DIFFERENTIAL

[4] PERSISTENT PROPAGATION OF CONCENTRATION WAVES IN DISSIPATIVE MEDIA FAR FROM THERMAL EQUILIBRIUM [J].