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Steady advection–diffusion around finite absorbers in two-dimensional potential flows
Steady advection–diffusion finite absorbers two-dimensional potential flows
2015/10/16
We consider perhaps the simplest non-trivial problem in advection–diffusion – a finite absorber of arbitrary cross-section in a steady two-dimensional potential flow of concentrated fluid. This proble...
SYMBOLIC EXTENSION ENTROPY:Cr EXAMPLES,PRODUCTS AND FLOWS
SYMBOLIC EXTENSION ENTROPY Cr EXAMPLES PRODUCTS FLOWS
2015/9/29
Adapting techniques of Misiurewicz, for 1 ≤ r < ∞ we give an explicit construction of Cr maps with positiveresidual entropy. We also establish the behavior of symbolic extension entropy with respect t...
Non-Planar Fronts in Boussinesq Reactive Flows
Non-Planar Fronts Boussinesq Reactive Flows
2015/7/14
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 solu...
We consider a reaction-diffusion equation in a cellular flow. We prove that in the strong flow regime there are two possible scenario for the initial data that is compactly supported and the size of t...
We obtain a criterion for pulsating front speed-up by general periodic incompressible flows in two dimensions and in the presence of KPP nonlinearities. We achieve this by showing that the ratio of th...
We consider convective systems in a bounded domain, in which viscous fluids described by the Stokes system are coupled using the Boussinesq approximation to a reaction-advection-diffusion equation for...
We consider an elliptic eigenvalue problem with a fast cellular flow of amplitude A, in a twodimensional domain with L2 cells. For fixed A, and L → ∞, the problem homogenizes, and has been well studie...
Feature-scale Simulations of Particulate Slurry Flows in Chemical Mechanical Polishing by Smoothed Particle Hydrodynamics
Chemical mechanical polishing smoothed particle hydrodynamics particulate flow rough pad wafer defects abrasive concentration
2014/10/10
In this paper, the mechanisms of material removal in chemical mechanical polishing (CMP) processes are investigated in detail by the smoothed particle hydrodynamics (SPH) method. The feature-scale beh...
Compress-and-Forward Scheme for a Relay Network: Approximate Optimality and Connection to Algebraic Flows
Compress-and-Forward Scheme Relay Network Approximate Optimality Connection Algebraic Flows
2011/1/17
We study a wireless relay network, with a single source and a single destination.Our main result is to show that an appropriate compress-and-forward scheme supports essentially the same reliable data ...
Hodograph transformations in unsteady MHD transverse flows
Hodograph and Legendre transformation porous media
2010/11/1
Hodograph-Legendre transformation have been used to find exact solutions of equation of motion governing the two dimensional unsteady viscous incompressible electrically conducting fluid flows under t...
Magnetodynamic stability of acoustic streaming peristaltic flows in microchannels
peristaltic microchannels magnetodynamic
2010/9/21
We study the magneto dynamic stability of acoustic streaming peristaltic flows of fluids induced by small amplitude surface acoustic wave propagation along the walls of a confined parallel plane micro...
Navier-Stokes characteristic boundary conditions for simulations of some typical flows
Navier-Stokes characteristic boundary conditions non-dissipative compact schemes
2010/9/21
The improved Navier-Stokes characteristic boundary conditions (NSCBC) method for direct numerical simulation of viscous flows, combining six order non-dissipative compact schemes with eight order filt...
Finite dimensional reduction and convergence to equilibrium for incompressible Smectic-A liquid crystal flows
Finite dimensional reduction incompressible Smectic-A liquid crystal flows
2010/11/8
We consider a hydrodynamic system that models the Smectic-A liquid crystal flow. The model consists of the Navier-Stokes equation for the fluid velocity coupled with a fourth-order equation for the la...
Whitham's equations for modulated roll-waves in shallow flows
Whitham's equations modulated roll-waves
2010/11/15
This paper is concerned with the detailed behaviour of roll-waves undergoing a low-frequency perturbation. We rst derive the so-called Whitham's averaged modulation equations and relate the well-pose...
Evolution systems of measures for stochastic flows
Evolution systems measures stochastic flows
2010/11/12
A new concept of {\em an evolution system of measures for stochastic flows} is considered. It corresponds to the notion of an invariant measure for random dynamical systems (or cocycles). The existen...