Navier-Stokes-Boussinsq equations in a tube; estimates when the data is front-like

2012/04/30 by Mohammadreza Raoofi, Raoofi, Mohammadreza
Mathematics · #35Q35 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35Q35

paper · pdf · doi:10.48550/arxiv.1204.6582

This paper has been withdrawn by the author due to a crucial errors

arxiv created 2012/08/21 · arxiv updated 2012/08/24

Abstract

For the solutions of Navier-Stokes-Boussinesq equations in a three-dimensional thin tube with front like initial data, we derive some uniform estimates on the burning rate and the flow velocity, which can be interpreted as stability results for the laminar front. We also show that the front-like datum admits a solution which will stay front-like in time. We consider no-slip (Dirichlet) boundary condition for the flow, and no-flux (Neumann) boundary condition for the reactant(temperature).

Related

• A stability result for the Stokes-Boussinesq equations in infinite 3d channels
• Non-Planar Fronts in Boussinesq Reactive Flows
• On the regularity of temperature fronts for the 3D viscous Boussinesq system
• Fronts in reactive convection: bounds, stability and instability
• Asymptotic stability for two-dimensional Boussinesq systems around the Couette flow in a finite channel