We perform a linear stability analysis of an elementary 1D model obtained from a Level Set formulation of the coupling between an immersed elastic interface and the surrounding fluid. Despite the striking simplicity of the studied model, relevant instability regimes are obtained, unifying results obtained in previous studies [5, 17]. We also present numerical tests on the full model which furth...

this work concerns the peristaltic flow of a williamson fluid model in an inclined asymmetric channel under combined effects of heat and mass transfer. the governing nonlinear partial differential equations are simplified under the lubrication approach and then solved analytically and numerically. the analytical results are computed with the help of regular perturbation and the numerical result...

a procedure is presented that synthesizes fractional crystallization separation processes to obtain pure solids from multi-component solutions. the method includes a procedure to generate a network flow model to identify alternative process designs for fractional crystallization. the main advantage of this systematic procedure with respect to other reported procedures is using non-equilibrium s...

In this work, we aim at giving a first proof of concept to address the estimation of synaptic conductances when a neuron is spiking, a complex inverse non-linear problem which is an open challenge in neuroscience. Our approach is based on a simplified model of neuronal activity, namely a piecewise linear version of the FitzHugh-Nagumo model. This simplified model allows a precise knowledge of t...

We consider possibly stiff and implicit systems of ordinary differential equations (ODEs). The major difficulty and computational bottleneck in the implementation of fully implicit Runge–Kutta (IRK) methods resides in the numerical solution of the resulting systems of nonlinear equations. To solve those systems we show that the use of inexact simplified Newton methods is efficient. Linear syste...

pushover analysis is a simplified nonlinear analysis technique that can be used to estimate the dynamic demands imposed on a structure under earthquake excitations. one of the first steps taken in this approximate solution is to assess the maximum roof displacement, known as target displacement, using the base shear versus roof displacement diagram. that could be done by the so-called dynamic p...

Conventional Volterra series model is hardly applied to engineering practice due to its parametric complexity and estimation difficulty. To solve this problem, nonlinear system identification using reduced complexity Volterra models is proposed. Since the nonlinear components often play a secondary role compared to the dominant, linear component of the system, they spend the most of identificat...

The behaviour of a multi-input, multi-output dynamic system is often described in terms of a linear, time-invariant model, and for large complex systems, the order of such a model is generally excessively large. This paper deals with the problem of obtaining a simplified model which approximately describes the behaviour of the original system. [The SCI indicates that this paper has been cited i...

The paper addresses a mathematical model of the transient process in pipeline, namely, water hammer model. Based on this model, mixed problem for system partial differential equations hyperbolic type is set. In paper, we obtain formulas exact solution Cauchy linear homogeneous system. We compare effectiveness explicit and implicit numerical methods solving simplified equations.