Abstract and Applied Analysis
Volume 2005 (2005), Issue 7, Pages 757-766
The Cauchy problem and decay rates for strong
solutions of a Boussinesq system
1Universidad de Sevilla, Facultad deMatemáticas, Sevilla 41012, Spain
2DM-CCE-UEL, Londrina, PR, Brazil
3DMA-IMECC-UNICAMP, CP 6065, Campinas 13083-970, SP, Brazil
Received 10 June 2004
Copyright © 2005 Francisco Guillén González et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The Boussinesq equations describe the motion of an incompressible
viscous fluid subject to convective heat transfer. Decay rates of
derivatives of solutions of the three-dimension-al Cauchy problem
for a Boussinesq system are studied in this work.