Global existence and decay of solutions of a coupled system of BBM-Burgers equations.

Jardel Morais Pereira

Revista Matemática Complutense (2000)

  • Volume: 13, Issue: 2, page 423-443
  • ISSN: 1139-1138

Abstract

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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.

How to cite

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Morais Pereira, Jardel. "Global existence and decay of solutions of a coupled system of BBM-Burgers equations.." Revista Matemática Complutense 13.2 (2000): 423-443. <http://eudml.org/doc/44359>.

@article{MoraisPereira2000,
abstract = {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.},
author = {Morais Pereira, Jardel},
journal = {Revista Matemática Complutense},
keywords = {Problema de Cauchy; Problemas hiperbólicos; Sistemas no lineales; global well-posedness; Sobolev spaces; decay estimates; interaction of weakly nonlinear long waves},
language = {eng},
number = {2},
pages = {423-443},
title = {Global existence and decay of solutions of a coupled system of BBM-Burgers equations.},
url = {http://eudml.org/doc/44359},
volume = {13},
year = {2000},
}

TY - JOUR
AU - Morais Pereira, Jardel
TI - Global existence and decay of solutions of a coupled system of BBM-Burgers equations.
JO - Revista Matemática Complutense
PY - 2000
VL - 13
IS - 2
SP - 423
EP - 443
AB - 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.
LA - eng
KW - Problema de Cauchy; Problemas hiperbólicos; Sistemas no lineales; global well-posedness; Sobolev spaces; decay estimates; interaction of weakly nonlinear long waves
UR - http://eudml.org/doc/44359
ER -

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