A Qualitative and Analytical Analysis of the Laminar Boundary Layers

This book deals with the asymptotic behaviours of the solutions of the laminar boundary layer equations, complementary variational principles for unsteady Poiseuille’s flow of a viscous incompressible liquid and Kantorovich method for the laminar steady flow of a viscous incompressible and electrically conducting fluid through rectangular porous pipe in presence of a transverse magnetic field. One of the important problems in the study of differential equations is that of describing the nature of the solutions for large positive values of the independent variables and this purpose is completely served by the study of asymptotic behaviours. Variational principles occur widely in physical problems and the approximate methods of the solutions of such problems are often based on associated variational principles. The basic problem of variational principle is a generalization of the elementary theory of maxima and minima of the calculus and is concerned with the determination of a function from an admissible class of functions such that a certain definite integral involving the function and some of its derivatives takes on a extreme value on a closed region.