Comparison Theorems for Coupled Reaction-Diffusion Equations in Chemical Reactor Analysis

Comparison uniqueness and stability theorems are proved for a general system of reaction-diffusion equations involving interacting macro and microstructures where concentrations in the macrosystem govern the boundary conditions for behaviour in the microsystem which in turn governs source strengths for components in the macrosystem. Such systems arise as models for fluidised, fixed, packed, and trickle bed reactors; fermenters; ore reduction furnaces; and many other industrial processes and natural phenomena.