With the unifying theme of abstract evolutionary equations both linear and nonlinear in a
complex environment the book presents a multidisciplinary blend of topics spanning the fields
of theoretical and applied functional analysis partial differential equations probability
theory and numerical analysis applied to various models coming from theoretical physics
biology engineering and complexity theory. Truly unique features of the book are: the first
simultaneous presentation of two complementary approaches to fragmentation and coagulation
problems by weak compactness methods and by using semigroup techniques comprehensive
exposition of probabilistic methods of analysis of long term dynamics of dynamical systems
semigroup analysis of biological problems and cutting edge pattern formation theory. The book
will appeal to postgraduate students and researchers specializing in applications of
mathematics to problems arising in natural sciences and engineering.
