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.