The paper is concerned with a numerical simulation of Burgers flow as a simplified model of unsteady flow of a compressible viscous fluid. Viscous Burgers equation represents many of the properties of unsteady compressible NavierStokes equations, such as nonlinear convection and viscous diffusion leading to shock waves and boundary layers. A one-dimensional Burgers equation is frequently used t...

In this paper, an efficient numerical scheme based on uniform Haar wavelets is used to solve the non-planar Burgers equation. The quasilinearization technique is used to conveniently handle the nonlinear terms in the non-planar Burgers equation. The basic idea of Haar wavelet collocation method is to convert the partial differential equation into a system of algebraic equations that involves a ...

ABSTRACT- Today, the authenticity of meat products with less costly and desirable species has increased. Therefore and considering religious, economicalor public health concerns, proper actions should be taken to prevent such frauds. In this study, real time PCR assay was applied for rapid, sensitive and specific identification and quantification of chicken tissue in meat products. Specific pri...

We obtain the exact solution for the Burgers equation with a time dependent forcing, which depends linearly on the spatial coordinate. For the case of a stochastic time dependence an exact expression for the joint probability distribution for the velocity fields at multiple spatial points is obtained. A connection with stretched vortices in hydrodynamic flows is discussed. Burgers equation [1],...

Oil industry produces large volume of waste, which represents a disposal and a potential environmental pollution problem. Nevertheless, they are also promising sources of compounds that can be recovered and used as valuable substances. The aim of this work is to exploit solid olive by-products, in particular dry olive paste flour (DOPF) coming from Coratina cultivar, to enrich fish burger and e...

This paper examines the properties of a regularization of Burgers equation in one and multiple dimensions using a filtered convective velocity, which we have dubbed as convectively filtered Burgers (CFB) equation. A physical motivation behind the filtering technique is presented. An existence and uniqueness theorem for multiple dimensions and a general class of filters is proven. Multiple invar...

We describe an approach to nonlocal, nonlinear advection in one dimension that extends the usual pointwise concepts to account for nonlocal contributions to the flux. The spatially nonlocal operators we consider do not involve derivatives. Instead, the spatial operator involves an integral that, in a distributional sense, reduces to a conventional nonlinear advective operator. In particular, we...

In the context of the Burgers equation with distributed controls, we present optimal estimates for the minimal time of controllability T (r) of the initial data of norm r in L2. To cite this article: E. Fernández-Cara, S. Guerrero, C. R. Acad. Sci. Paris, Ser. I 341 (2005).  2005 Académie des sciences. Published by Elsevier SAS. All rights reserved. Résumé Remarques sur la contrôlabilité exact...

We consider the generalized Burgers equation with and without a time delay when the boundary conditions are periodic with period 2π. For the generalized Burgers equation without a time delay, that is, ut = νuxx − uux + u+ h(x), 0 < x < 2π, t > 0, u(0, t) = u(2π, t), u(x,0) = u0(x), a Lyapunov function method is used to show boundedness and uniqueness of a steady state solution and global stabil...