A uniform error estimate in time for spectral Galerkin approximations of the magneto-micropolar fluid equations

Authors

  • E.E. Ortega-Torres,

    1. Departamento de Matemáticas, Universidad Católica del Norte, Casilla 1280, Antofagasta, Chile
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  • M.A. Rojas-Medar,

    1. Grupo de Matemática Aplicada, Dpto. de Ciencias Básicas, Facultad de Ciencias, Universidad del Bío-Bío, Campus Fernando May, Casilla 447, Chillán, Chile
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  • R.C. Cabrales

    Corresponding author
    1. Grupo de Matemática Aplicada, Dpto. de Ciencias Básicas, Facultad de Ciencias, Universidad del Bío-Bío, Campus Fernando May, Casilla 447, Chillán, Chile
    • Grupo de Matemática Aplicada, Dpto. de Ciencias Básicas, Facultad de Ciencias, Universidad del Bío-Bío, Campus Fernando May, Casilla 447, Chillán, Chile
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Abstract

We consider Galerkin approximations for the equations modeling the motion of an incompressible magneto-micropolar fluid in a bounded domain. We derive an optimal uniform in time error bound in the H1 and L2 -norms for the velocity. This is done without explicit assumption of exponential stability for a class of solutions corresponding to decaying external force fields. Our study is done for no-slip boundary conditions, but the results obtained are easily extended to the case of periodic boundary conditions. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 689–706, 2012

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