RMC - Vol. 8, Num. 2 - M. A. Rojas Medar/S. A. Lorca

Full paper in PDF:
$%M. A. Rojas-Medar and S. A. Lorca, An error estimate uniform in time for spectral Galerkin approximations for the equations for the motion of a chemical active fluid, Rev. Mat. Univ. Complut. Madrid 8 (1995), no. 2, 431–458.%$

An Error Estimate Uniform in Time for Spectral Galerkin Approximations for the Equations for the Motion of a Chemical Active Fluid

Marko A. ROJAS-MEDAR and Sebastian A. LORCA

IMECC-UNICAMP
Caixa Postal 6065
13081-970 Campinas, SP — Brazil

Received: November 16, 1993

ABSTRACT

We study error estimates and their convergence rates for approximate solutions of spectral Galerkin type for the equations for the motion of a viscous chemical active fluid in a bounded domain. We find error estimates that are uniform in time and also optimal in the $L2$ -norm and $H1$ -norm. New estimates in the $H -1$ -norm are given.

1991 Mathematics Subject Classification: 65M60, 76D05, 65M15, 76R99.