Lyudmyla L. Barannyk

Suppression of Rayleigh-Taylor instability using electric fields

Abstract: This study considers the stability of two stratified immiscible incompressible fluids in a horizontal channel of infinite extent. Of particular interest is the case with the heavier fluid initially lying above the lighter fluid, so that the system is susceptible to the classical Rayleigh-Taylor instability. An electric field acting in the horizontal direction is imposed on the system and it is shown that it can act to completely suppress Rayleigh-Taylor instabilities and produces a dispersive regularization in the model. Dispersion relations are derived and a class of nonlinear traveling waves (periodic and solitary) is computed. Numerical solutions of the initial value problem of the system of model evolution equations that demonstrate a stabilization of Rayleigh-Taylor instability due to the electric field are presented.

On artifacts in limited data spherical Radon transform: curved observation surface

In this article, we characterize the strength of the reconstructed singularities and artifacts in a reconstruction formula for limited data spherical Radon transform. Namely, we assume that the data is only available on a closed subset

Spectrally Accurate Causality Enforcement Using SVD-Based Fourier Continuations for High-Speed Digital Interconnects

\Gamma

A Study of Differential Signaling: Stable and Accurate Mixed-Mode Conversion and Extraction of Differential S-Parameters

of a hyperplane in

Nonlinear Dynamics and Wall Touch-Up in Unstably Stratified Multilayer Flows in Horizontal Channels under the Action of Electric Fields

\mathbb{R}^n

Delay estimation using SVD-based causal fourier continuations for high speed interconnects

(

Finite Element Analysis and Fatigue Life Prediction of an Aluminum Alloy Braze for High Temperature Thermoelectric Generator Package Assembly

n=2,3

Comparison of passive enforcement techniques for DRAM package models

). We consider a reconstruction formula studied in some previous works, under the assumption that the data is only smoothened out to a finite order

Causality Enforcement of High-Speed Interconnects via Periodic Continuations

k

A Creep Damage Model for High-Temperature Deformation and Failure of 9Cr-1Mo Steel Weldments

near the boundary. For the problem in the two dimensional space and