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Le but du livre est de donner aux enseignants et aux etudiants (a partir de Bac+4) en mathematiques appliquees et en mecanique des fluides un outil d'enseignement et d'apprentissage illustre par cinquante problemes accompagnes de leur correction detaillee. Ce livre presente une nouvelle methode d'analyse asymptotique pour des problemes de "couche limite." Celle-ci est appelee MASC "Methode des Approximations Successives Complementaires." La premiere moitie du livre est consacree, outre la presentation de la MASC, a ordonner les connaissances necessaires a l'analyse asymptotique et a donner...

This book presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows.

This book presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows.