Fast Reaction Limit with Nonmonotone Reaction Function

Global existence and fast-reaction limit in reaction-diffusion systems with cross effects

Fast Reaction Limit of the Discrete Diffusive Coagulation-fragmentation Equation

The local mass of weak solutions to the discrete diffusive coagulation-fragmentation equation is proved to converge, in the fast reaction limit, to the solution of a nonlinear diffusion equation, the coagulation and fragmentation rates enjoying a detailed balance condition.

A one-dimensional reaction/diffusion system with a fast reaction

We consider a system of second order ordinary differential equations describing steady state for a 3–component chemical system (with diffusion) in the case when one of the reactions is fast. We discuss the existence of solutions and the existence, uniqueness, and characterization of a limit as the rate of the fast reaction approaches infinity.

Fast reaction limit of a volume-surface reaction-diffusion system towards a heat equation with dynamical boundary conditions

The fast reaction limit of a volume-surface reaction-diffusion system is rigorously investigated. We show that as the reaction rate constant goes to infinity, the original system converges to a heat equation with dynamical boundary condition. As a consequence, a dynamical boundary condition can be interpreted as a fast reaction limit of a volume-surface reaction-diffusion system.

Nonmonotone Waves in a Three Species Reaction-diiusion Model

This paper establishes the existence of a nonmonotone travelling wave for a reaction-diiusion system modeling three competing species. General existence results for travelling waves in higher dimensional systems depend on monotonicity and therefore do not apply to the result obtained here. The proof demonstrates an application of the homotopy invariant, the connection index, to a higher dimensi...