Stable reaction dynamics and its global steady state

1 Stable reaction dynamics and its global steady state 

We will refer to this type of systems as decay-type reaction systems since the stability of the local equilibrium implies that deviations from the stable steady state, in the absence of transport processes, decay in time. When the concentration field is advected by 

Decay-type and Stable Reaction Dynamics in Flows 

The simplest example of this type of reaction is the linear decay of a contaminant which is injected into the flow by a non-uniform spatially distributed source  

This type of dynamics is used, for example, in models of oceanic surface temperature distribution (Abraham and Bowen, 2002), with To(x) representing an imposed atmospheric temperature field. 

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