This paper investigates the nature of the development of two-dimensional laminar flow of an incompressible fluid at the reversed stagnation-point. ”. In this study, we revisit the problem of reversed stagnation-point flow over a flat plate. Proudman and Johnson (1962) first studied the flow and obtained an asymptotic solution by neglecting the viscous terms. This is no true in neglecting the vi...

We construct metrics from the geodesics of the Structural Similarity index, an image quality assessment measure. An analytical solution is given for the simple case of zero stability constants, and the general solution involving the numerical solution of a nonlinear equation is also found. © 2012 Elsevier Ltd. All rights reserved.

The main goal of the work is to investigate the behavior of a geothermal reservoir containing salty water when its physical parameters exceed the critical values, i.e. when the vaporization process cannot be described by the asymptotic self-similarity solution. We consider a low-permeability rock, where salty water vaporizes at a sharp front, because of fluid extraction at constant pressure. If...

We analyze the long-time asymptotics of certain one-dimensional kinetic models of granular flows, which have been recently introduced in [22] in connection with the quasi elastic limit of a model Boltzmann equation with dissipative collisions and variable coefficient of restitution. These nonlinear equations, classified as nonlinear friction equations, split naturally into two classes, dependin...

This paper proposes a compromise model, based on the technique for order preference through similarity ideal solution (TOPSIS) methodology, to solve the multi-objective large-scale linear programming (MOLSLP) problems with block angular structure involving fuzzy parameters. The problem involves fuzzy parameters in the objective functions and constraints. This compromise programming method is ba...

The event synchronisation task addresses the problem of aligning photo streams from different users temporally and identifying coherent events in the streams. In our approach, we first determine the visual similarity of image pairs. We determine visual similarity based on full matching of SIFT descriptors and based on VLAD, and compare the use of the two sets of similarity scores. We then build...

In this paper, we discuss a number of new problems that arise in image databases, and that set them apart from traditional databases. The fact that image databases are based on similarity, rather than matching, creates a whose set of new issues.Most noticeably, while matching is, by and large, a well defined concept, there are many possible types of similarities. In this paper, we consider the ...

Abstract—A cold, thin film of liquid impinging on an isothermal hot, horizontal surface has been investigated. An approximate solution for the velocity and temperature distributions in the flow along the horizontal surface is developed, which exploits the hydrodynamic similarity solution for thin film flow. The approximate solution may provide a valuable basis for assessing flow and heat transf...

We present a numerical implementation of the renormalization group (RG) for partial diierential equations, constructing similarity solutions and travelling waves. We show that for a large class of well-localized initial conditions, successive iterations of an appropriately deened discrete RG transformation in space and time will drive the system towards a xed point. This corresponds to a scale-...