The Non-Boussinesq Temporal Residual Mean

Limiting Behaviour of the Mean Residual Life

In survival or reliability studies, the mean residual life or life expectancy is an important characteristic of the model. Here, we study the limiting behaviour of the mean residual life, and derive an asymptotic expansion which can be used to obtain a good approximation for large values of the time variable. The asymptotic expansion is valid for a quite general class of failure rate distributi...

Conditional Mean Residual Life Estimation

Bridging the Boussinesq and primitive equations through spatio-temporal filtering

We propose a novel approach for bridging the Boussinesq equations and the primitive equations. This approach uses spatio-temporal filtering as an alternative to traditional scaling arguments. © 2009 Elsevier Ltd. All rights reserved.

Non-Planar Fronts in Boussinesq Reactive Flows

We consider the reactive Boussinesq equations in a slanted cylinder, with zero stress boundary conditions and arbitrary Rayleigh number. We show that the equations have non-planar traveling front solutions that propagate at a constant speed. We also establish uniform upper bounds on the burning rate and the flow velocity for general front-like initial data for the Cauchy problem.

non-hydrostatic, three-dimensional Boussinesq equations

We study the three-dimensional, incompressible, non-hydrostatic Boussinesq fluid equations, which are applicable to the dynamics of the oceans and atmosphere. These equations describe the interplay between velocity shear and buoyancy gradients in a rotating frame, which are represented in a hierarchy of dynamical variables Ωm(t) for 1 ≤ m < ∞, identified as the sum of the L-norms of these varia...