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Don de René Lefever

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This book is an introduction to the dynamics of reaction-diffusion systems, with a focus on fronts and stationary spatial patterns. Emphasis is on systems that are non-standard in the sense that either the transport is not simply classical diffusion (Brownian motion) or the system is not homogeneous. A important feature is the derivation of the basic phenomenological equations from the mesoscopic system properties. Topics addressed include transport with inertia, described by persistent random walks and hyperbolic reaction-transport equations and transport by anomalous diffusion, in particular subdiffusion, where the mean square displacement grows sublinearly with time. In particular reaction-diffusion systems are studied where the medium is in turn either spatially inhomogeneous, compositionally heterogeneous or spatially discrete. Applications span a vast range of interdisciplinary fields and the systems considered can be as different as human or animal groups migrating under external influences, population ecology and evolution, complex chemical reactions, or networks of biological cells. Several chapters treat these applications in detail.

Diffusion. --- Reaction-diffusion equations. --- Reaction-diffusion equations --- Diffusion --- Mesoscopic phenomena (Physics) --- Chemical & Materials Engineering --- Physics --- Mathematics --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Calculus --- Atomic Physics --- Chemical Engineering --- Diffusion-reaction equations --- Equations, Reaction-diffusion --- Gases --- Liquids --- Physics. --- Physical chemistry. --- Chemical engineering. --- Ecology. --- Biomathematics. --- Statistical physics. --- Dynamical systems. --- Applied and Technical Physics. --- Statistical Physics, Dynamical Systems and Complexity. --- Physical Chemistry. --- Theoretical Ecology/Statistics. --- Genetics and Population Dynamics. --- Industrial Chemistry/Chemical Engineering. --- Differential equations, Parabolic --- Separation (Technology) --- Solution (Chemistry) --- Solutions, Solid --- Matter --- Packed towers --- Semiconductor doping --- Properties --- Chemistry, Physical organic. --- Genetics --- Complex Systems. --- Mathematics. --- Chemistry, Industrial --- Engineering, Chemical --- Industrial chemistry --- Engineering --- Chemistry, Technical --- Metallurgy --- Biology --- Embryology --- Mendel's law --- Adaptation (Biology) --- Breeding --- Chromosomes --- Heredity --- Mutation (Biology) --- Variation (Biology) --- Balance of nature --- Bionomics --- Ecological processes --- Ecological science --- Ecological sciences --- Environment --- Environmental biology --- Oecology --- Environmental sciences --- Population biology --- Chemistry, Physical organic --- Chemistry, Organic --- Chemistry, Physical and theoretical --- Ecology --- Ecology . --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Mathematical statistics --- Statistical methods

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Pure sciences. Natural sciences (general)