Neufeld Zoltan, Hernandez-Garcia Emilio. Chemical and Biological Processes in Fluid Flows. A Dynamical Systems Approach

London: Imperial College Press, 2010. — 280 p. — ISBN13: 978-1-86094-699-8.Fluid Flows
Conservation laws
Laminar and turbulent flows
Turbulence
Kolmogorov’s theory of turbulence
Two-dimensional flows
Mixing and Dispersion in Fluid FlowsAdvection
Diffusion
Advection and diffusion
Steady two-dimensional flows
Advection along streamlines
Dispersion of diffusive tracers in steady flows
Advection in weakly time-dependent two-dimensional flows
Chaotic advection in three dimensions
Dispersion by chaotic advection
The Lyapunov exponent
Chaotic advection in open flows
Chaotic advection and diffusion
The filament model
Asymptotic decay in chaotic flows
Mixing in turbulent flows
Relative dispersion in turbulence
Passive scalar in turbulent flows
Distribution of inertial particles in flows
Chemical and Ecological Models
Chemical dynamics
The Law of Mass Action
Binary, First-Order, and Zeroth-Order Reactions
Autocatalytic and Enzymatic Reactions: The adiabatic elimination
Oscillations and excitability
Multistability
Biological models
Simple birth, death and saturation
Predator-Prey models
CompetitionReaction-diffusion Dynamics
Diffusion and linear growth
Linear spreading of perturbations
The minimum habitat-size problem
Plankton filaments
Fisher waves
Multistability: Fronts advancing on metastable states
Excitable waves
Turing diffusive instabilities
Oscillatory media and beyond
Fast Binary Reactions and the Lamellar Approach
Fast binary reactions in simple flows
The fast binary reaction in complex flows
Decay-type and Stable Reaction Dynamics in Flows
Stable reaction dynamics and its global steady state
The spectrum of decaying scalar in a flow
Smooth and filamental distributions
Structure functions, multifractality and intermittency
Two-dimensional turbulence with linear damping
Mixing in Autocatalytic-type Processes
Mixing in autocatalytic reactions
The closed-flow case
The open flow case
Results from the filament model
Front propagation in cellular flows
Mixing and bistable dynamics
Mixing in excitable dynamics
Excitable plankton dynamics
Competition dynamics
Mixing in Oscillatory Media
Synchronization of oscillatory dynamics by mixing
Persistent patterns in uniform medium
Synchronization in non-uniform medium
Noise induced oscillations in excitable media
The effect of chaotic dispersion on cyclic competition
Further Reading
Complex fluids and reactive flows
Self-propelled particles in prescribed flows
Bioconvection driven by swimming cells
Mesoscopic flows in active suspensions