Approximation of Nonlinear Evolution Systems (Enhanced Edition‪)‬

This book is devoted to the study of the initial-value and the mixed initial/
boundary-value problems. It is divided into two parts, which superficially
appear to be entirely unrelated: Part I, a weak solution theory, global in
time, for nonlinear and degenerate parabolic evolutions, and Part 11, a
classical solution theory, local in time, for quasi-linear parabolic and hyperbolic
evolutions. These theories are, in turn, motivated by models from the
physical and biological sciences, whose formulations are described and
succinctly developed, particularly in Chapter 1. These include phase transition
through heat conduction, fluid filtration in porous media, reactiondiffusion
systems, incompressible fluid dynamics, and general relativity.