Full paper in PDF:
$%J. Morais Pereira, Global existence and decay of solutions of a coupled system of BBM-Burgers
equations, Rev. Mat. Complut. 13 (2000), no. 2, 443–423.%$
ABSTRACT
The global well-posedness of the initial-value problem associated to the coupled system of BBM-Burgers equations
| (*) |
in the classical Sobolev spaces for is studied. Furthermore we find decay estimates of the solutions of (*) in the norm , for general initial data provided that and . Model (*) is motivated by a work due to Gear and Grimshaw (1984) who considered strong interaction of weakly nonlinear long waves governed by a coupled system of KdV equations.
1991 Mathematics Subject Classification: 35Q53, 35B40.