Weakly nonlinear stability analysis of triple diffusive convection in a Maxwell fluid saturated porous layer
Sign Up to like & getrecommendations! Published in 2018 at "Applied Mathematics and Mechanics"
DOI: 10.1007/s10483-018-2298-6
Abstract: The weakly nonlinear stability of the triple diffusive convection in a Maxwell fluid saturated porous layer is investigated. In some cases, disconnected oscillatory neutral curves are found to exist, indicating that three critical thermal Darcy-Rayleigh… read more here.
Keywords: triple diffusive; diffusive convection; convection maxwell; nonlinear stability ... See more keywords
On resonances in a weakly nonlinear microbeam due to an electric actuation
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-021-06495-z
Abstract: In this paper, the oscillations of an actuated, simply supported microbeam are studied for which it is assumed that the electric load is composed of a small DC polarization voltage and a small, harmonic AC… read more here.
Keywords: nonlinear microbeam; microbeam; resonances weakly; due electric ... See more keywords
Linear and Weakly Nonlinear Stability Analyses of Turing Patterns for Diffusive Predator–Prey Systems in Freshwater Marsh Landscapes
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of Mathematical Biology"
DOI: 10.1007/s11538-017-0245-x
Abstract: We study a diffusive predator–prey model describing the interactions of small fishes and their resource base (small invertebrates) in the fluctuating freshwater marsh landscapes of the Florida Everglades. The spatial model is described by a… read more here.
Keywords: diffusive predator; predator prey; weakly nonlinear; marsh landscapes ... See more keywords
A weakly nonlinear analytical model for the transversely forced flame describing function of a slit flame
Sign Up to like & getrecommendations! Published in 2021 at "Fuel"
DOI: 10.1016/j.fuel.2021.120247
Abstract: Abstract In this work, a weakly nonlinear analytical model of the flame describing function (FDF) of a two-dimensional laminar premixed slit flame subjected to both transverse perturbations and two-dimensional mean flows has been proposed. Two… read more here.
Keywords: transverse; nonlinear analytical; model; flame ... See more keywords
System identification of lumped parameter models for weakly nonlinear systems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Sound and Vibration"
DOI: 10.1016/j.jsv.2019.03.010
Abstract: Abstract Experimental system identification through modal analysis is often conducted by assuming linear constitutive laws and kinematic relationships. Significant prediction errors from these identified models can occur when the amplitude dependent contribution of nonlinearities is… read more here.
Keywords: system; response; system identification; identification ... See more keywords
Weakly nonlinear theory for a gate-type curved array in waves
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2019.223
Abstract: We analyse the effect of gate surface curvature on the nonlinear behaviour of an array of gates in a semi-infinite channel. Using a perturbation-harmonic expansion, we show the occurrence of new detuning and damping terms… read more here.
Keywords: gate; case; theory gate; gate type ... See more keywords
Tunable phonon blockade in weakly nonlinear coupled mechanical resonators via Coulomb interaction
Sign Up to like & getrecommendations! Published in 2018 at "Scientific Reports"
DOI: 10.1038/s41598-018-32743-1
Abstract: Realizing quantum mechanical behavior in micro- and nanomechanical resonators has attracted continuous research effort. One of the ways for observing quantum nature of mechanical objects is via the mechanism of phonon blockade. Here, we show… read more here.
Keywords: phonon blockade; mechanical resonators; phonon; coulomb interaction ... See more keywords
Characterization of wavebreaking time and dissipation of weakly nonlinear wakefields due to ion motion
Sign Up to like & getrecommendations! Published in 2018 at "Physics of Plasmas"
DOI: 10.1063/1.5048549
Abstract: In an initially uniform plasma, the lifetime of a weakly nonlinear plasma wave excited by a short driver is limited by the ion dynamics. The wakefield contains a slowly varying radial component, which results in… read more here.
Keywords: dissipation weakly; wavebreaking time; characterization wavebreaking; ion ... See more keywords
Phase Domain Walls in Weakly Nonlinear Deep Water Surface Gravity Waves.
Sign Up to like & getrecommendations! Published in 2018 at "Physical review letters"
DOI: 10.1103/physrevlett.120.224102
Abstract: We report a theoretical derivation, an experimental observation and a numerical validation of nonlinear phase domain walls in weakly nonlinear deep water surface gravity waves. The domain walls presented are connecting homogeneous zones of weakly… read more here.
Keywords: domain walls; walls weakly; weakly nonlinear; phase domain ... See more keywords
An Efficient Iterative Method Based on Two-Stage Splitting Methods to Solve Weakly Nonlinear Systems
Sign Up to like & getrecommendations! Published in 2019 at "Mathematics"
DOI: 10.3390/math7090815
Abstract: In this paper, an iterative method for solving large, sparse systems of weakly nonlinear equations is presented. This method is based on Hermitian/skew-Hermitian splitting (HSS) scheme. Under suitable assumptions, we establish the convergence theorem for… read more here.
Keywords: iterative method; method based; two stage; method ... See more keywords