The global well-posedness of the initial-value problem associated to the coupled system of BBM-Burgers equations (*) in the classical Sobolev spaces Hs(R) x Hs(R) for s ≥ 2 is studied. Furthermore we find decay estimates of the solutions of (*) in the norm Lq(R) x Lq(R), 2 ≤ q ≤ ∞ for general initial data. Model (*) is motivated by a work due to Gear and Grimshaw [10] who considered strong interaction of weakly nonlinear long waves governed by a coupled system of KdV equations.
@article{urn:eudml:doc:44359,
title = {Global existence and decay of solutions of a coupled system of BBM-Burgers equations.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {13},
year = {2000},
pages = {423-443},
zbl = {0977.35121},
mrnumber = {MR1822124},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44359}
}
Morais Pereira, Jardel. Global existence and decay of solutions of a coupled system of BBM-Burgers equations.. Revista Matemática de la Universidad Complutense de Madrid, Tome 13 (2000) pp. 423-443. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44359/