Using both a recent calculation by Bruch of the damping of the motion of a monolayer nitrogen film oscillating harmonically on a metallic surface due to Ohm's law heating and a Thomas-Fermi approximation treatment of the Ohm's law heating mechanism, which accounts for the nonzero thickness of the surface region of a metal, it is argued that this mechanism for friction is able to account for rec...

A nonlocal continuum theory of solvation is applied using an oscillating dielectric function with spatial dispersion. It is found that a convergent solution cannot be calculated using a model of a fixed solute cavity inside the solvent continuum. This is attributed to the fact that the dielectric oscillations appear as a result of coupling between polarization and density fluctuations, contradi...

The phenomenon of spiral pair synchronization by oscillating strips (Nozaki-Bekki solution) in a 2D CGLE is investigated analytically. The equations describing the interaction of the strips with one another and with spirals are derived. Analysis of the equations shows that under certain conditions the strips lead to frequency and phase locking of the spirals. In this case the spiral pair (dipol...

In this paper, we consider the Robinson-Schensted correspondence for oscillating tab-leaux and skew oscillating tableaux deened in 15] and 3]. First we give an analogue, for the oscillating tableaux, of the classical geometric construction of Viennot for standard tableaux ((16]). Then, we extend a construction of Sagan and Stanley ((10]), dealing with standard tableaux and skew tableaux, to ded...

The classical problem of homogenization deals with elliptic operators in periodically oscillating media of small period ε > 0 and the asymptotic behavior of solution u of boundary value problems associated with such operators. In a previous work [5], the authors introduced what is called Bloch approximation which provided energy norm approximation for the solution in R . This paper continues wi...

In this paper, we build a Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field. This consists in writing the solution of this equation as a sum of two oscillating functions with circumscribed oscillations. The first of these functions has a shape which is close to the shape of the Two-Scale limit of the solution and the second one is a correction built to offs...

We consider the theory of correctors to homogenization in stationary transport equations with rapidly oscillating, random coefficients. Let ε 1 be the ratio of the correlation length in the random medium to the overall distance of propagation. As ε ↓ 0, we show that the heterogeneous transport solution is well-approximated by a homogeneous transport solution. We then show that the rescaled corr...

In this paper, the oscillating two-dimensional laminar flow about a cylinder and the oscillation of a cylinder in still water are studied. A finite volume method is applied to solve the Navier Stokes equations using SIMPLEC algorithm on a body fitted co-located O-type grid. In this study, the non-dimensional flow numbers, Keulegan-Carpenter and Stokes’ numbers are chosen over a range where diff...

The authors present a simple configuration for dual-oscillating lasers gain control erbium-doped fiber amplifier (EDFA) in which dual-oscillating lasers are formed by two pairs of fiber Bragg gratings (FBGs). Experimental results show that dual-oscillating lasers dramatically reduce steady and transient gain variations caused by spectral hole burning and relaxation oscillations, and the dual-os...

We present a finite element method for the numerical solution of diffusion problems on rough surfaces. The problem is transformed to an elliptic homogenization problem in a two dimensional parameter domain with a rapidly oscillating diffusion tensor and source term. The finite element method is based on the heterogeneous multiscale methods of E and Engquist [Commun. Math. Sci., 1 (2003), pp. 87...