Publicación: A UNIFORM ERROR ESTIMATE IN TIME FOR SPECTRAL GALERKIN APPROXIMATIONS OF THE MAGNETOMICROPOLAR FLUID EQUATIONS
Fecha
2010
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NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Resumen
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.
