ASYMPTOTIC METHODS FOR MICROPOLAR FLUIDS IN A TUBE STRUCTURE
Copyright policy )ASYMPTOTIC METHODS FOR MICROPOLAR FLUIDS IN A TUBE STRUCTURE
The steady motion of a micropolar fluid through a wavy tube with the dimensions depending on a small parameter is studied. An asymptotic expansion is proposed and error estimates are proved by using a boundary layer method. We apply the method of partial asymptotic decomposition of domain and we prove that the solution of the partially decomposed problem represents a good approximation for the solution of the considered problem.
- Sorbonne Paris Cité France
- Sorbonne University France
- Jean Monnet University France
- Romanian Academy Romania
- LABORATOIRE DE MATHÉMATIQUES DE REIMS - Université de Reims Champagne Ardenne - France
partial asymptotic decomposition, Homogenization applied to problems in fluid mechanics, error estimates, Non-Newtonian fluids, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, small parameter, PDEs in connection with fluid mechanics, Homogenization in context of PDEs; PDEs in media with periodic structure
partial asymptotic decomposition, Homogenization applied to problems in fluid mechanics, error estimates, Non-Newtonian fluids, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, small parameter, PDEs in connection with fluid mechanics, Homogenization in context of PDEs; PDEs in media with periodic structure
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