Date of Original Version

6-2014

Type

Article

Rights Management

This is the accepted version of the article which has been published in final form at http://dx.doi.org/10.3934/dcds.2016.36.1383

Abstract or Description

We study the evolution of passive scalars in both rigid and moving slab-like domains, in both horizontally periodic and infinite contexts. The scalar is required to satisfy Robin-type boundary conditions corresponding to Newton's law of cooling, which lead to nontrivial equilibrium configurations. We study the equilibration rate of the passive scalar in terms of the parameters in the boundary condition and the equilibration rates of the background velocity field and moving domain.

DOI

10.3934/dcds.2016.36.1383

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Published In

Discrete and Continuous Dynamical Systems - Series A, 36, 3, 1383-1413.