The theory of partial differential equations is one of the most interesting and deepest branches of mathematical analysis as well as one of the most important from the point of view of applications. This book deals with the applications; it is the continuation of an earlier book in the same series [1].
The authors consider both the mathematical theory and many physical problems--such as adsorption, chromatography, chemical kinetics, sedimentation, ultracentrifugation, and oil recovery--that can be modeled by hyperbolic systems of quasilinear partial differential equations.
The chapter titles are as follows:
(1) Pairs of Quasilinear Hyperbolic Equations of First-Order,
(2) Two-solute Chromatography with the Langmuir Isoterm,
(3) Hyperbolic Systems of First-Order Quasilinear Equations and Multicomponent Chromatography,
(4) Wave Interactions in Multicomponent Chromatography,
(5) Multicomponent Adsorption in Continuous Countercurrent Moving-Bed Adsorber,
(6) More on Hyperbolic Systems of Quasilinear Equations and Analysis of Adiabatic Adsorption Column, and
(7) Chemical Reaction in a Countercurrent Reactor.
A comprehensive set of examples and exercises follows each section of each chapter. The authors give detailed and complete references at the end of every chapter. The book is suitable for graduate study and the text is accessible to anyone with a thorough grounding in undergraduate mathematics. The book is well organized and can be used in courses for graduate students in applied mathematics or engineering. This book is excellent, comprehensive, and complete. It is useful for everyone working in the applications of this important field of mathematics.
