2012/08/21 by Marta Lewicka, Lewicka, Marta, Mohammadreza Raoofi +1
Engineering · Mathematics · #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #math.AP
paper · pdf · doi:10.48550/arxiv.1208.4214
arxiv created 2012/08/21 · openalex publication_date 2012/08/21 · arxiv updated 2012/08/22 · openalex created_date 2022/09/29 · openalex updated_date 2026/08/04
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.