Rossby Waves With Linear Topography In Barotropic Fluids

Rossby waves are the most important waves in the atmosphere and ocean, and are parts of a large-scale system in fluid. The theory and observation show that, they satisfy quasi-geostrophic and quasi-static equilibrium approximations. In this paper, solitary Rossby waves induced by linear topography in barotropic fluids with a shear flow are studied. In order to simplify the problem, the topography is taken as a linear function of latitude variable y, then employing a weakly nonlinear method and a perturbation method, a KdV (Korteweg-de Vries) equation describing evolution of the amplitude of solitary Rossby waves induced by linear topography is derived. The results show that the variation of linear topography can induce the solitary Rossby waves in barotropic fluids with a shear flow, and extend the classical geophysical theory of fluid dynamics.

A Linear Stability Analysis Of Large-Prandtl-Number Thermocapillary Liquid Bridges

A linear stability analysis is applied to determine the onset of oscillatory thermocapillary convection in cylindrical liquid bridges of large Prandtl numbers (4 <= Pr <= 50). We focus on the relationships between the critical Reynolds number Re-c, the azimuthal wave number m, the aspect ratio F and the Prandtl number Pr. A detailed Re-c-Pr stability diagram is given for liquid bridges with various Gamma. In the region of Pr > 1, which has been less studied previously and where Re, has been usually believed to decrease with the increase of Pr, we found Re-c exhibits an early increase for liquid bridges with Gamma around one. From the computed surface temperature gradient, it is concluded that the boundary layers developed at both solid ends of liquid bridges strengthen the stability of basic axisymmetric thermocapillary convection at large Prandtl number, and that the stability property of the basic flow is determined by the "effective" part of liquid bridge. (c) 2008 Published by Elsevier Ltd on behalf of COSPAR.

A backward particle interpretation of Feynman-Kac formulae

We design a particle interpretation of Feynman-Kac measures on path spaces based on a backward Markovian representation combined with a traditional mean field particle interpretation of the flow of their final time marginals. In contrast to traditional genealogical tree based models, these new particle algorithms can be used to compute normalized additive functionals "on-the-fly" as well as their limiting occupation measures with a given precision degree that does not depend on the final time horizon. We provide uniform convergence results with respect to the time horizon parameter as well as functional central limit theorems and exponential concentration estimates. Our results have important consequences for online parameter estimation for non-linear non-Gaussian state-space models. We show how the forward filtering backward smoothing estimates of additive functionals can be computed using a forward only recursion.

Recuperar plásticos desechables a los fines de conformar elementos constructivos de una vivienda económica como respuesta social, analizada como un problema de ingeniería industrial

Resumen: El hecho de seleccionar a los plásticos dentro de nuestro proyecto es porque son en particular, partes abundantes y visibles en la composición de los residuos generados en nuestra sede UCA Campus Rosario. Razonamos que son varias las áreas que los producen en forma cotidiana o de modo transitorio (como es el caso de eventos), a las que podemos sumar un accionar ambientalmente responsable. Ello nos impone la responsabilidad de proponer algún modo de re-utilizarlos en el diseño de ciertos elemento que los integre como materia prima, material de aporte, insumo o material auxiliar, con un amplio campo de posibilidades como es en la construcción, a partir de una mirada desde la ingeniería ambiental. La metodología de trabajo que desarrollamos implica inspeccionar la materia prima con la cual se va a trabajar, a los fines de conocerla fehacientemente, así como internalizar la posible combinación entre los distintos tipos de plásticos de acuerdo a su composición y su respuesta en la integración con otros materiales de uso tradicional, de acuerdo a experiencias reconocidas Desde una mirada lineal la educación sola no alcanza, como tampoco la tecnología ni las medidas parciales son suficientes para aliviar este tremendo desequilibrio que venimos heredando. Ante estos hechos es perentorio comprender la complejidad, actuar desde allí descubriendo la conexión invisible entre el ser humano y el medio, y los seres humanos entre sí. Debido a ello entendemos que para restaurar el medio ambiente en principio hay que comenzar por restaurar los vínculos y los ciclos que los contienen, esto implica re-ciclar.

Optimal bounded control of first-passage failure of strongly non-linear oscillators under combined harmonic and white-noise excitations

A procedure for designing the optimal bounded control of strongly non-linear oscillators under combined harmonic and white-noise excitations for minimizing their first-passage failure is proposed. First, a stochastic averaging method for strongly non-linear oscillators under combined harmonic and white-noise excitations using generalized harmonic functions is introduced. Then, the dynamical programming equations and their boundary and final time conditions for the control problems of maximizing reliability and of maximizing mean first-passage time are formulated from the averaged Ito equations by using the dynamical programming principle. The optimal control law is derived from the dynamical programming equations and control constraint. Finally, the conditional reliability function, the conditional probability density and mean of the first-passage time of the optimally controlled system are obtained from solving the backward Kolmogorov equation and Pontryagin equation. An example is given to illustrate the proposed procedure and the results obtained are verified by using those from digital simulation. (C) 2003 Elsevier Ltd. All rights reserved.