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arXiv · 1208.4214

A stability result for the Stokes-Boussinesq equations in infinite 3d channels

Marta Lewicka·Mohammadreza Raoofi
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Abstract

We consider the Stokes-Boussinesq (and the stationary Navier-Stokes-Boussinesq) equations in a slanted, i.e. not aligned with the gravity's direction, 3d channel and with an arbitrary Rayleigh number. For the front-like initial data and under the no-slip boundary condition for the flow and no-flux boundary condition for the reactant temperature, we derive uniform estimates on the burning rate and the flow velocity, which can be interpreted as stability results for the laminar front.

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Marta Lewicka, Mohammadreza Raoofi. 2012-08-21. A stability result for the Stokes-Boussinesq equations in infinite 3d channels. https://arxiv.org/abs/1208.4214

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