On spatially periodic solutions of the damped Boussinesq equation
type: Item
instance of: scholarly article
title: On spatially periodic solutions of the damped Boussinesq equation
zbMATH Open document ID: 0940.35162
author: V. V. Varlamov
published in: Differential and Integral Equations
publication date: 2000-05-22T00:00:00Z
review text: Global behavior of classical spatially periodic solutions of the damped Boussinesq equation is examined for small data and in one space variable. The asymptotic behavior with respect to a small parameter at the initial data is obtained. The argument is detailed with special attention to the possible (and more interesting) absence of the overdamping phenomenon. The result is of particular interest in the study of wave propagation in media with dispersion.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 1450178
zbMATH Keywords: Boussinesq equation
zbMATH Keywords: spatially periodic solutions
zbMATH Keywords: long time behavior
MaRDI profile type: Publication
Recommended article: Spatially almost periodic complex‐valued solutions of the Boussinesq equations
Recommended article: Asymptotics of spatially periodic solution to Boussinesq's equation with dissipation for large time
Recommended article: Solutions of the Boussinesq equation on a periodic domain
Recommended article: Q4662928
Recommended article: On periodic traveling wave solutions of Boussinesq equation
Recommended article: Quasiperiodic solutions for dissipative Boussinesq systems
Recommended article: Existence of the time periodic solution for damped Schrödinger-Boussinesq equation
Recommended article: Perturbed periodic solution for Boussinesq equation
Recommended article: On the Continuous Periodic Weak Solutions of Boussinesq Equations
description: scientific article; zbMATH DE number 1450178