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Localized Traveling Wave Front in Binary Fluid Convection
1997We performed an experiment on Rayleigh Benard convection in a binary fluid in the strong non-linear regime in a slot channel. Double localized traveling wave (DLTW) state was realized near the saddle node point. We have measured the local dynamics at the fronts which separate a convection region and a conduction region in the DLTW and found the chaotic
Masashi Nomura +2 more
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Stability of Traveling Wave Fronts for Nonlocal Delayed Reaction Diffusion Systems
Zeitschrift für Analysis und ihre Anwendungen, 2014This paper is concerned with the stability of traveling wave fronts for nonlocal delayed reaction diffusion system. The stability of traveling wave front is proved in some exponentially weighted L^\infty -spaces, when the difference between initial ...
Lv, Guangying, Wang, Xiaohuan
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Traveling wave fronts of a diffusive Nicholson’s Blowflies equation with two delays
Applied Mathematics Letters, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Lizhuang, Xu, Zhiting
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Nonlinear waves traveling upon a front of solitons
Physics of Fluids A: Fluid Dynamics, 1991The equation for perturbations with finite amplitude and finite wavelength traveling on a front of exponential solitons has been derived by means of an asymptotic procedure. The shock waves traveling on a front of exponentially decaying solitons, like the ‘‘shock–shocks’’ of Whitham, have been described. Stability conditions of solitons relative to the
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Forward combustion fronts as traveling waves through a porous medium
Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 2015Traveling wave combustion for a two-phase flow model that represents combustion of oil with oxygen or air in a porous medium was discussed in [1]. The discussion was limited to the case where the speed of the particles ahead of the combustion front is less than the fractional oil heat capacity. In this work we discuss the other case where the speed
Jesus C. da Mota, Aparecido J. de Souza
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Method of reconstruction of wave front of traveling ionospheric disturbances
2012 International Conference on Mathematical Methods in Electromagnetic Theory, 2012In this paper the spatio-temporal structure of traveling ionospheric disturbances characteristics is studied on the base of the electron density profiles measured by four radiophysics tools. The technique for determination of spatial-temporal structure of wavelike ionospheric disturbances was developed using cross-correlation and spectrum analysis of ...
M.V. Tolstikov +2 more
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Travelling wave front solutions of Noyes-field system for Belousov-Zhabotinskii reaction
Nonlinear Analysis: Theory, Methods & Applications, 1987The system equations which are considered are the ones proposed by Murray as a model for the propagation of wave bands in the Belousov-Zhabotinskij reaction [Cf. \textit{J. D. Murray}, On travelling wave solutions in a model for Belousov-Zhabotinskij reaction, J. theor. Biol. 56, 329-353 (1974)]. By constructing an appropriate boundary value problem on
Ye, Qixiao, Wang, Mingxin
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The Stability of Traveling Wave Front Solutions of a Reaction-Diffusion System
SIAM Journal on Applied Mathematics, 1981We investigate the behavior of solutions of the problem\[\begin{gathered} \frac{{\partial x}} {{\partial t}} = F( x,y ) + \frac{{D\partial ^2x }} {{\partial \zeta ^2 }},\quad \frac{{\partial y}} {{...
Klaasen, Gene A., Troy, William C.
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Local stability of travelling fronts for a damped wave equation
Acta Mathematica Scientia, 2013Abstract The paper is concerned with the long-time behaviour of the travelling fronts of the damped wave equation αutt + ut = uxx − V′(u) on ℝ. The long-time asymptotics of the solutions of this equation are quite similar to those of the corresponding reaction-diffusion equation ut = uxx − V′(u).
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Extended states of nonlinear traveling-wave convection. II. Fronts and spatiotemporal defects
Physical Review A, 1992This paper continues a description of experiments on one-dimensional, nonlinear, traveling-wave convection in a binary fluid with separation ratio \ensuremath{\psi}=-0.127 in a narrow annular cell. It is possible to create and manipulate steady-state sources and sinks of traveling waves in this system, as well as to produce stable fronts that separate ...
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