Asymptotic Analysis: From Theory to Application

by Ferdinand Verhulst (Editor)

On matching principles.- Singular perturbations of spectra.- Feed-back control of singularly perturbed heating problems.- Singular perturbation methods in a one-dimensional free boundary problem.- Bifurcation analysis of a non linear free boundary problem from plasma physics.- Asymptotic approximations in magneto-hydrcdynamic singular perturbation problems.- Boundary layers in large scale ocean circulation.- Asymptotic methods for the Volterra-Lotka equations.- Small random perturbations of dynamical systems with applications in population genetics.- The description of jumps between Kepler orbits by boundary layer methods.- The 1:2:1-resonance, its periodic orbits and integrals.- Approximations of higher order resonances with an application to Contopoulos' model problem.- On the asymptotic validity of perturbation methods for hyperbolic differential equations.

256 pages, Paperback

Published March 12, 2014

About the author

Ferdinand Verhulst is retired professor of Mathematics at the University of Utrecht in the Netherlands.

He is also the founder of the publisher Epsilon Uitgaven, in 1985. This publisher aims to publish scientific books in Dutch, with a special eye to Mathematics, both because it is easier to learn in your own language, and also to promote mathematics among non-mathematicians. In Dutch (as published on the website) "Epsilon Uitgaven beoogt het tot stand brengen en verspreiden van wetenschappelijke boeken in de Nederlandse taal met de nadruk op wiskunde."