u_t = D Δu + R(u): linear diffusion plus nonlinear local reaction. Generates Turing patterns, travelling waves (KPP/Fisher), combustion fronts.
Reaction-diffusion equation
Related concepts
- Partial differential equation (PDE)
- Soliton
- Turing pattern
- Reaction-diffusion pattern formation
- Cahn–Hilliard spinodal decomposition and instability threshold (soft-matter)
- Stellar convection (mixing-length)
- Turing instability (1952)
- Morphogenetic (Wolpert 1969)
- Turing patterns
- Turing (1952)
- Fertiliser runoff & eutrophication
- Heterogeneous atmospheric chemistry
- Fisher-KPP dispersal wave: ∂u/∂t = D·∂²u/∂x² + r·u·(1−u); traveling-front framework
- Turing reaction-diffusion pattern formation
- Mycelial network branching growth
- Vascularised tissue engineering (Mooney-Levenberg)
- Morphogen gradient (Wolpert French-flag)
- Turing morphogenesis (1952)