Results 21 to 30 of about 1,395,730 (272)
Electrophoretic traveling waves [PDF]
Transactions of the American Mathematical Society, 1988 An existence-uniqueness-approximability theory is given for a prototypical mathematical model for the separation of ions in solution by an imposed electric field. The separation is accomplished during the formation of a traveling wave, and the mathematical problem consists in finding a traveling wave solution of a set of diffusion ...
Fife, P. C., Palusinski, O. A., Su, Y.
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New periodic exact traveling wave solutions of Camassa–Holm equation
Partial Differential Equations in Applied Mathematics, 2022 In Zhang et al. (2007) and Zhang (2021) we constructed all single-peak traveling wave solutions of the Camassa–Holm equation including some explicit solutions. In general it is a challenge to construct exact multi-peak traveling wave solutions.
Guoping Zhang
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Symmetric Waves Are Traveling Waves
International Mathematics Research Notices, 2009 We show that horizontally symmetric water waves are traveling waves. The result is valid for the Euler equations, and is based on a general principle that applies to a large class of nonlinear partial differential equations, including some of the most famous model equations for water waves. A detailed analysis is given for weak solutions of the Camassa-
Ehrnström, Mats +2 more
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Geometric Scaling as Traveling Waves [PDF]
Physical Review Letters, 2003 We show the relevance of the nonlinear Fisher and Kolmogorov-Petrovsky- Piscounov (KPP) equation to the problem of high energy evolution of the QCD amplitudes. We explain how the traveling wave solutions of this equation are related to geometric scaling, a phenomenon observed in deep-inelastic scattering experiments.
Munier, S., Peschanski, R.
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Minimal Wave Speed in a Competitive Integrodifference System without Comparison Principle
Mathematics, 2019 We investigate the traveling wave solutions of a competitive integrodifference system without comparison principle. In the earlier conclusions, a threshold of wave speed is defined while the existence or nonexistence of traveling wave solutions remains ...
Luping Li +3 more
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Active Traveling Wave in the Cochlea [PDF]
Physical Review Letters, 2003 A sound stimulus entering the inner ear excites a deformation of the basilar membrane which travels along the cochlea towards the apex. It is well established that this wavelike disturbance is amplified by an active system. Recently, it has been proposed that the active system consists of a set of self-tuned critical oscillators which automatically ...
Duke, T, Julicher, F
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Contact analysis and mathematical modeling of traveling wave ultrasonic motors [PDF]
, 2004 An analysis of the contact layer and a mathematical modeling of traveling wave ultrasonic motors (TWUM) are presented for the guidance of the design of contact layer and the analyses of the influence of the compressive force and contact layer on motor ...
Zhu, Meiling
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Research on Active Flow Control Method of NACA0012 Airfoil with Traveling Wave Structure [PDF]
Journal of Applied Fluid MechanicsTraveling wave is an innovative active flow control technique that can remarkably mitigate flow separation. This paper employs numerical simulation to examine how traveling wave structures affect the NACA0012 airfoil.
Q. Dai +4 more
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Minimal Wave Speed in an Integrodifference System of Predator-Prey Type
Discrete Dynamics in Nature and Society, 2020 This article studies the minimal wave speed of traveling wave solutions in an integrodifference predator-prey system that does not have the comparison principle. By constructing generalized upper and lower solutions and utilizing the theory of asymptotic
Baoju Sun, Fuzhen Wu
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Traveling Waves in Visual Cortex [PDF]
Neuron, 2012 Electrode recordings and imaging studies have revealed that localized visual stimuli elicit waves of activity that travel across primary visual cortex. Traveling waves are present also during spontaneous activity, but they can be greatly reduced by widespread and intensive visual stimulation.
Sato, TK, Nauhaus, I, Carandini, M
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