%0 Journal Article %A Jang, Juhi %A Tice, Ian %D 2014 %T Passive scalars, moving boundaries, and Newton's law of cooling %U https://kilthub.cmu.edu/articles/journal_contribution/Passive_scalars_moving_boundaries_and_Newton_s_law_of_cooling/6479111 %R 10.1184/R1/6479111.v1 %2 https://kilthub.cmu.edu/ndownloader/files/11915699 %K Passive scalars %K equilibration rates %K free boundary problems %K Newton's law of cooling %K energy estimates %K calculus of variations %X

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.

%I Carnegie Mellon University