Asymptotic behavior of solutions of the damped Boussinesq equation in two space dimensions

The Cauchy problem for the damped Boussinesq equation with small initial data is considered in two space dimensions. Existence and uniqueness of its classical solution is proved and the solution is constructed in the form of a series. The major term of its long-time asymptotics is calculated explici...

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Bibliographic Details
Main Author: Vladimir V. Varlamov
Format: Article
Language:English
Published: Hindawi Limited 1999-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S016117129922131X