Intro
Foreword
Preface to the First Edition
Preface to the Second Edition
Contents
Introduction
Quest for Complexity
Field Variables
Conservative Systems
Dissipative Systems
Historical and Bibliographical Notes
1 Genesis of Patterns
1.1 Basic Models
1.1.1 Representative Models of Open Systems
1.1.2 Spectral Decompositions
1.1.3 Linear Analysis
1.1.4 Evolution of Perturbations
1.1.5 Multiscale Expansion
1.2 Reaction-Diffusion Systems
1.2.1 General Structure of RDS
1.2.2 Examples of RDS
1.2.3 Bifurcation of Stationary States

1.2.4 Global Bifurcations
1.3 Space-Dependent Amplitude Equations
1.3.1 Turing Instability
1.3.2 Wave Instability
1.3.3 Derivation of Amplitude Equations
1.3.4 Anisotropy of Long-Scale Spatial Dependence
1.4 Convective Systems
1.4.1 Convection Driven by Heat or Mass Transfer
1.4.2 Convection Driven by Buoyancy
1.4.3 Convection Driven by Marangoni Flow
1.5 Dynamics of Planforms
1.5.1 Interaction of Degenerate Modes
1.5.2 Resonant Interactions
1.5.3 Stripes-Hexagons Competition
1.5.4 Wave-Turing Resonance
1.5.5 Resonant StandingWaves

1.6 Conserved Systems
1.6.1 Nonlocal and Local Description
1.6.2 Phase Separation
1.6.3 Symmetry Breaking in Conserved Systems
1.6.4 Partially Conserved Systems
2 Fronts between Uniform States
2.1 Planar Fronts
2.1.1 Advance into a Metastable State
2.1.2 Computation of the Propagation Speed
2.1.3 Nonmonotonic Solutions
2.1.4 Propagation into an Unstable State
2.1.5 Stability of the Leading Edge
2.1.6 Pulled and Pushed Fronts
2.2 Weakly Curved Fronts
2.2.1 Aligned Coordinate Frame
2.2.2 Expansion Near the Maxwell Construction
2.2.3 Burgers Equation

2.2.4 Ripening under Global Control
2.3 Fronts in Conserved Systems
2.3.1 Inner and Outer Equations
2.3.2 Solvability Condition and Matching
2.3.3 Propagation and Coarsening in 1D
2.3.4 Ostwald Ripening
2.3.5 Phase Field Model
2.4 Instabilities of Interphase Boundaries
2.4.1 Instabilities due to Coupling to Control Field
2.4.2 Mullins-Sekerka Instability
2.4.3 Instability of a Curved Interface
2.4.4 Directional Solidification
2.4.5 Long-Scale Instability
3 Structures with Sharp Interfaces
3.1 Rectilinear Structures
3.1.1 Basic Model and Scaling

3.1.2 Stationary Fronts
3.1.3 Propagating Fronts
3.1.4 Stationary Bands
3.1.5 Migration-Enhanced Structures
3.1.6 Propagating Bands
3.2 Curvilinear Structures
3.2.1 Solitary Disk and Sphere
3.2.2 Splitting and Bending Instabilities
3.2.3 Traveling and Oscillatory Instabilities
3.2.4 Quasistationary Dynamics
3.2.5 Phenomenological Velocity-Curvature Relation
3.2.6 Long-Scale Evolution Equations
3.3 Locally Induced Motion
3.3.1 Intrinsic Equations of Motion
3.3.2 Steadily Rotating Spiral
3.3.3 Propagation into a Quiescent State