Electronic Journal of Differential Equations,
Conference 05 (2000), pp. 285-298.
Title: Long-time asymptotics for the damped Boussinesq equation in a disk.
Authors: Vladimir Varlamov (The Univ. of Texas at Austin, TX, USA)
Abstract:
For the damped Boussinesq equation the first initial-boundary value problem
is considered in a unit disk. Its strong solution is constructed in the form
of a series in the small parameter present in the initial conditions. The
global-in-time solvability follows from the construction. The first-order
long-time asymptotics is calculated with the uniform in space estimate of
the remainder.
Published October 24, 2000.
Math Subject Classifications: 35K55, 35B40.
Key Words: damped Boussinesq equation; boundary-value problem; long-time asymptotics.