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  • 11
    Electronic Resource
    Electronic Resource
    Dissipative hydrodynamic oscillators (1989)
    Springer
    Il nuovo cimento della Società Italiana di Fisica 11 (1989), S. 1615-1629 
    Details
    ISSN: 0392-6737
    Keywords: Hydrodynamic stability ; Convection and heat transfer
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Description / Table of Contents: Riassunto I confini tendono generalmente a stabilizzare uno strato liquido altrimenti instabile soggetto a vincoli termici. Si forniscono qui risultati riguardo il ruolo della dimensione orizzontale finita e della profondità di strato finita per uno strato di liquido soggetto a gradienti di concentrazione dell'agente attivo di superficie quando l'instabilità (sovrastabilità) tende a crescere nelle forme di onde longitudinali o trasverse indotte dall'effetto di Marangoni.
    Abstract: Резюме Границы обычно стабилизируют неустойчивые слои жидкости, на которые наложены термические воздействия. В этой работе анализируется роль конечных горизонтальнхы размеров и конечных размеров по глубине для слоя жидкости при наличии градиентов концентрации поверхностно-активного вещества, когда неустойчивость возникает в форме поперечных или продольных волн, обусловленных эффектом Марангони.
    Notes: Summary Boundaries generally tend to stabilize an otherwise unstable liquid layer subjected to thermal constraints. Here, results are provided about the role of the finite horizontal size and of the finite layer for a liquid layer subjected to gradients of surfactant concentration when instability (overstability) tries to set up in the form of transverse or longitudinal waves induced by the Marangoni effect.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02451016
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  • 12
    Electronic Resource
    Electronic Resource
    Dissipative hydrodynamic oscillators (1989)
    Springer
    Il nuovo cimento della Società Italiana di Fisica 11 (1989), S. 1631-1643 
    Details
    ISSN: 0392-6737
    Keywords: Hydrodynamic stability ; Convection and heat transfer
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Description / Table of Contents: Riassunto Qui sono studiate sia numericamente che analiticamente oscillazioni trasverse di un interfaccia aria-liquido deformabile che non seguono la legge di Laplace-Kelvin. Inoltre si ricerca anche per uno strato di liquido di profondità finita la competizione di questo modo di oscillazione crescente e l'insorgenza della convenzione standard cellulare costante di Bérnard-Marangoni. Si forniscono valori di soglia e notevoli varietà di numeri capillari e di Schmidt (Prandtl) per l'osservazione sperimentale di tale instabilità.
    Abstract: Резюме Численно и аналитически исследуются осцилляции деформируемой границы раздела воздух-жидкость, которые не подчиняются закону Лапласа-Кельвина. Для слоя жидкости конечной глубины мы также исследуем конкуренцию этой моды колебательной неустойчивости и появление стандартной стационарной ячеистой конвенции Бенара-Марангони. Мы определяем пороговые значения и соответствующие области для числа Шмидта (Прандтля) и для капиллярного числа для экспериментального наблюдения этой неустоичнвости.
    Notes: Summary Transverse oscillations of a deformable air-liquid interface not obeying the Laplace-Kelvin law are here studied, both numerically and analytically. Moreover, for a liquid layer of finite depth we also explore the competition of this mode of overstability and the onset of standard steady cellular Bénard-Marangoni convection. We provide threshold values and relevant Schmidt (Prandtl) and capillary number ranges for the experimental observation of this instability.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02451017
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  • 13
    Electronic Resource
    Electronic Resource
    Dissipative hydrodynamic oscillators (1989)
    Springer
    Il nuovo cimento della Società Italiana di Fisica 11 (1989), S. 717-726 
    Details
    ISSN: 0392-6737
    Keywords: Hydrodynamic stability ; Convection and heat transfer
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Description / Table of Contents: Riassunto Si dà una descrizione, in termini di un approccio di unoscillatore armonico, di moti in oscillazione crescente, per spinta idrostatica, cioè l'insorgenza di convezione oscillatoria in uno strato di fluido soggetto a vari vincoli termici e meccanici. Quando lo smorzamento si annulla, si definiscono i valori di soglia. Si sottolinea anche che l'oscillazione crescente è una conseguenza dell'accoppiamento sincrono delle forze che agiscono nel sistema.
    Abstract: Резюме В приближении гармонического осциллятора предлагается описание гидростатических устойчивых движений, т.е. возникновение осциияторной конвенции в слое жидкости, на который наложены различные тепловые и механические ограничения. При исчезающе малом затухании мы определяем пороговые значения. Мы также отмечаем, что устойчивость является следствием синхронной связи сил, действующих в системе.
    Notes: Summary A description of buoyancy-driven overstable motions,i.e. the onset of oscillatory convection in a fluid layer subjected to various thermal and mechanical constraints is given in terms of aharmonic-oscillator approach. At vanishing damping we define the threshold values. We also point out that overstability is a consequence of thesynchronous coupling of the forces acting in the system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02451558
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  • 14
    Electronic Resource
    Electronic Resource
    Dissipative hydrodynamic oscillators (1989)
    Springer
    Il nuovo cimento della Società Italiana di Fisica 11 (1989), S. 727-737 
    Details
    ISSN: 0392-6737
    Keywords: Hydrodynamic stability ; Convection and heat transfer
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Description / Table of Contents: Riassunto Si presentano qui le previsioni che riguardano l'insorgenza di onde gravitazionali elettrocapillari trasversali nell'interfaccia di due fluidi quando un campo elettrico tangenziale o ortogonale viene imposto all'interfaccia. Particolari applicazioni includono interfacce ariaolio e aria-mercurio.
    Abstract: Резюме В работе делаются предсказания, касающиеся возникновения поперечных гравитационно-электро-капиллярных волн на границе раздела двух жидкостей, когда на границу раздела накладывается либо тангенциальное, либо ортогональное электрическое поле. Рассматриваются некоторые применения к границам раздела воздух-нефть и воздухртуть.
    Notes: Summary Provided here are predictions concerning the onset of transverse gravity-electro-capillary waves at the interface of two fluids when either a tangential or an orthogonal electric field is imposed to the interface. Particular applications include air-oil and air-mercury interfaces.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02451559
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  • 15
    Electronic Resource
    Electronic Resource
    Dissipative hydrodynamic oscillators (1989)
    Springer
    Il nuovo cimento della Società Italiana di Fisica 11 (1989), S. 709-716 
    Details
    ISSN: 0392-6737
    Keywords: Hydrodynamic stability ; Convection and heat transfer
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Description / Table of Contents: Riassunto Si descrive il moto oscillatorio di un interfaccia tra liquido e liquido indotto dall'effetto di Marangoni, cioè la variazione della tensione di superficie con la concentrazione di un tensioattivo nell'interfaccia. Poi si danno, quanto lo smorzamento si attenua, valori di soglia e regioni di parametri per onde longitudinali sostenute (Marangoni-Lucassen) in termini dei coefficienti di trasporto dei due liquidi.
    Abstract: Резюме Осцилляторное движение границы раздела двух жидкостей, индуцированное эффектом Марангони, т.е. изменением поверхностного натяжения с концентрацией поверхностно-активного вещества, описывается, как гармоническое колебание концентрации поверхностно-активного вещества на границе раздела. Затем при исчезающе малом затухании в терминах транспортных коэффициентов двух жидкостей определяются пороговые значения и область параметров для незатухающих продольных волн (Марангони-Лукасена).
    Notes: Summary The oscillatory motion of a liquid-liquid interface induced by the Marangoni effect,i.e. the variation of surface tension with the concentration of a surfactant, is described as the harmonic oscillation of the surfactant concentration at the interface. Then, at vanishing damping, threshold values and parameter regions for sustainedlongitudinal (Marangoni-Lucassen) waves are given in terms of the transport coefficients of the two liquids.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02451557
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  • 16
    Electronic Resource
    Electronic Resource
    Dissipative hydrodynamic oscillators (1991)
    Springer
    Il nuovo cimento della Società Italiana di Fisica 13 (1991), S. 913-918 
    Details
    ISSN: 0392-6737
    Keywords: Hydrodynamic stability ; Turbolent flows, convection, and heat transfer ; Lasing processes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Summary Suitable transformations are used to convert the two-component Lorenz model for double-diffusion, Soret-driven convection and the laser with saturable absorber into either a Duffing oscillator equation or a system of two coupled Duffing oscillators. Then we discuss the range of parameter values where complete integration is possible.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02457178
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  • 17
    Electronic Resource
    Electronic Resource
    Fluctuating hydrodynamics and Brownian motion. II. Note on the slip boundary condition (1974)
    Springer
    Journal of statistical physics 10 (1974), S. 103-105 
    Details
    ISSN: 1572-9613
    Keywords: Fluctuating hydrodynamics ; boundary conditions ; Brownian motion ; generalized Langevin equation ; fluctuation-dissipation theorem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Previous work by Hauge and Martin-Löf discussing the generalized Langevin equation for Brownian motion as a contraction from the more fundamental but still phenomenological description of a particle immersed in an incompressible fluid governed by fluctuating hydrodynamics with stick boundary condition is extended to the case of a Brownian particle with arbitrary shape and withslip boundary condition. The motivation for this extension is the fact that the latter condition naturally arises in a treatment of the problem from first principles.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01011720
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  • 18
    Electronic Resource
    Electronic Resource
    Cnoidal wave trains and solitary waves in a dissipation-modified Korteweg-de Vries equation (1995)
    Springer
    Acta applicandae mathematicae 39 (1995), S. 457-475 
    Details
    ISSN: 1572-9036
    Keywords: 58F07 ; cnoidal waves ; solitary waves ; dissipation-modified KdV equation ; stationary waves
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A generalization of the Korteweg-de Vries equation incorporating an energy input-output balance, hence a dissipation-modified KdV equation is considered. The equation is relevant to describe, for instance, nonlinear Marangoni-Bénard oscillatory instability in a liquid layer heated from above. Cnoidal waves and solitary waves of this equation are obtained both asymptotically and numerically.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00994649
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  • 19
    Electronic Resource
    Electronic Resource
    A Simple Generalized Excitability Model Mimicking Salient Features of Neuron Dynamics (2000)
    Springer
    Journal of statistical physics 101 (2000), S. 665-678 
    Details
    ISSN: 1572-9613
    Keywords: excitability ; subthreshold oscillations ; spiking ; Inferior Olive ; neuron dynamics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A generalization of the FitzHugh—Nagumo model for excitability is provided to account for salient features of Inferior Olive neurons. The base state is a limit cycle and excitability appears as spiking over peaks of the oscillations. The response of the model to various types of external stimulus is also presented. In particular, we show the relevance of an appropriate balance between amplitude and duration of the stimulus.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026401819366
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  • 20
    Electronic Resource
    Electronic Resource
    Multiple steady states for the Degn-Harrison reaction scheme of a bacterial culture (1978)
    Springer
    The European physical journal 31 (1978), S. 111-116 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Spatially non-homogeneous steady states of a model reaction-diffusion scheme containing an inhibitory step are constructed explicitly in a one-dimensional geometry for the case when one component migrates very rapidly. In this approximation and by a convenient choice of boundary conditions the problem is reduced to one dynamical variable only.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01320132
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