摘要

We consider the Stokes-Boussinesq (and the stationary NavierStokes-Boussinesq) equations in a slanted, i.e. not aligned with the gravity%26apos;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.

  • 出版日期2013-11

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