Description:
The goals of this text are to prove or disprove the solution of reduced nonlinear ODE's by different analytic methods, and to show that these solutions are intermediate asymptotics of a class of initial/boundary conditions arising from physical considerations.
Review Quotes:
From the reviews:
"The book is mainly addressed to applied mathematicians, and it may be of interest to physicists, biologists and engineers too. It is very rich with examples and explicit calculations which may become starting points for further advances in the general theory of the large-time behavior of solutions to nonlinear PDEs. Moreover, numerical examples are given. ... The book goes through the papers and the results of several researchers, including the authors themselves, who have made great contributions to the subject in the last decades." (Andrea Marson, Mathematical Reviews, Issue 2011 d)
"This monograph provides a state of the art discussion of several constructive approaches to determine the large time behavior of the solutions. ... The audience the authors have in mind are applied mathematicians, physicists, engineers and biologists who wish to understand asymptotic aspects of these diverse natural phenomena." (G. Hörmann, Monatshefte für Mathematik, Vol. 162 (2), February, 2011)
"The book goes through the papers and results of many researchers, including the authors themselves. The results and analysis in the book have both analytical and numerical character and are addressed mainly to applied mathematicians. There are very many examples and explicit calculations which may become starting point for further analysis." (Andrey E. Shishkov, Zentralblatt MATH, Vol. 1243, 2012)