ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE DAMPED BOUSSINESQ EQUATION IN TWO SPACE DIMENSIONS

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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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 1999-01, Vol.1999 (1), p.131-145
1. Verfasser: Varlamov, Vladimir V.
Format: Artikel
Sprache:eng
Schlagworte:
Boussinesq equation in two space dimensions
Cauchy problem
long-time asymptotics
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Zusammenfassung: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 explicitly and a uniform in space estimate of the residual term is given.
ISSN:0161-1712
1687-0425
DOI:10.1155/S016117129922131X