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 25, 2000.
Math Subject Classifications: 35K55, 35B40.
Key Words: damped Boussinesq equation, boundary-value problem, long-time asymptotics.
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| Vladimir Varlamov |
Department of Mathematics
The University of Texas at Austin
Austin, TX 78712-1082 , USA
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