Book Details

Analyse asymptotique et couche limite

Publication year: 2006

ISBN: 978-3-540-34016-4

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The aim of the book is to give teachers and students (from Bac + 4) in applied mathematics and fluid mechanics a teaching and learning tool illustrated by fifty problems accompanied by their detailed correction. This book presents a new method of asymptotic analysis for "boundary layer" problems. This is called MASC "Method of Complementary Successive Approximations". The first half of the book is devoted, in addition to the presentation of the MASC, to organize the knowledge necessary for the asymptotic analysis and to give the keys allowing the understanding of what is a problem called "boundary layer" and the methods allowing. to build an approximation. The second part is devoted to the application of MASC in fluid mechanics and to the comparison with the more traditional methods resulting from the famous MDAR, "Method of Connected Asymptotic Developments".


Subject: Mathematics and Statistics / Asymptotic analysis / Approximation / Boundary layer / Fluid mechanics / Singular disturbance / 41A60, 76D09, 34E15, 76D10, 34E10, 34E05 / Analyse asymptotique / Couche limite / Méchanique des fluides / Perturbation singulière