PORTUGALIAEMATHEMATICA
Vol. 60, No. 4, pp. 473-504 (2003)
|
|
PORTUGALIAE MATHEMATICA Vol. 60, No. 4, pp. 473-504 (2003) |
|
|
Asymptotic Expansion for a Dissipative Benjamin--Bona--Mahony Equation with Periodic CoefficientsE. Bisognin, V. Bisognin, R. Coimbra Char\ ao and A.F. PazotoCentro Universitário Franciscano, Campus Univesitário,97010-032-Santa Maria (RS) -- BRASIL E-mail: eleni@unifra.br , vanilde@unifra.br Departamento de Matemática, Universidade Federal de Santa Catarina, Campus Universitário-Trindade, 89040-900-Florianópolis (SC) -- BRASIL E-mail: charao@mtm.ufsc.br Instituto de Matemática, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970-Rio de Janeiro (RJ) -- BRASIL E-mail: ademir@acd.ufrj.br Abstract: In this work we study the asymptotic behavior of solutions of a dissipative BBM equation in $\R^N$ with periodic coefficients. We use Bloch waves decomposition to obtain a complete expansion, as $t\to+\infty$, and conclude that the solutions behave, in a first approximation, as the homogenized heat kernel. Full text of the article:
Electronic version published on: 9 Feb 2006. This page was last modified: 27 Nov 2007.
© 2003 Sociedade Portuguesa de Matemática
|