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Long Waves Over a Bi-viscous Seabed: Transverse Patterns : Volume ...

By: D. Bercovici; J. M. Becker

Description: Department of Geology and Geophysics, University of Hawaii at Manoa, Honolulu, HI, USA. The coupled interaction of long standing hydrodynamic waves with a deformable non-Newtonian seabed is examined using a two-layer model for which the upper layer fluid is inviscid and the lower layer is bi-viscous. The two-dimensional response of the system to forcing by a predominantly longitudinal (cross-shore) standing wave perturbed by a small trans...

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Second Generation Diffusion Model of Interacting Gravity Waves on ...

By: V. Zakharov; D. Resio; A. Pushkarev

Description: Waves and Solitons LLC, 918 W. Windsong Dr., Phoenix, AZ 85045, USA. We propose a second generation phenomenological model for nonlinear interaction of gravity waves on the surface of deep water. This model takes into account the effects of non-locality of the original Hasselmann diffusion equation still preserving important properties of the first generation model: physically consistent scaling, adherence to conservation laws and the existence of Kolmo...

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An Assessment of Bayesian Bias Estimator for Numerical Weather Pre...

By: Z. Toth; J. Son; D. Hou

Description: Numerical Prediction Center KMA, Seoul, Korea. Various statistical methods are used to process operational Numerical Weather Prediction (NWP) products with the aim of reducing forecast errors and they often require sufficiently large training data sets. Generating such a hindcast data set for this purpose can be costly and a well designed algorithm should be able to reduce the required size of these data sets.

This issue is investigated with t...

Berger, J. O.: Statistical Decision Theory and Bayesian Analysis. Springer-Verlag, New York, 1985.; Bernardo, J. M. and Smith, A. F. M.: Bayesian theory. Wiley, New York, 1994.; Box, G. E. P. and Jenkins, F. M.: Time Series Analysis: Forecasting and Control, 2nd Ed. Holden-Day, Oakland, CA, 1976.; Conover, W. J.: Practical Nonparametric Statistics, 2nd Edition, John Wiley & Sons, New York, 1980.; Cui, B., Toth, Z., Zhu, Y., Hou, D., and Beauregard, S.: Statistical post-p...

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Large-amplitude Electromagnetic Waves in Magnetized Relativistic P...

By: M. Domínguez; R. A. López; A. Viñas; F. A. Asenjo; J. A. Valdivia; V. Muñoz; T. Hada

Description: Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile. Propagation of large-amplitude waves in plasmas is subject to several sources of nonlinearity due to relativistic effects, either when particle quiver velocities in the wave field are large, or when thermal velocities are large due to relativistic temperatures. Wave propagation in these conditions has been studied for decades, due to its interest in several ...

Asenjo, F. A., Muñoz, V., Valdivia, J. A., and Hada, T.: Circularly Polarized Wave Propagation in Magnetofluid Dynamics for Relativistic Electron-Positron Plasmas, Phys. Plasmas, 16, 122108, doi:10.1063/1.3272667, 2009.; Asenjo, F. A., Borotto, F., Chian, A. C.-L., Muñoz, V., Valdivia, J. A., and Rempel, E.: Self-Modulation of Nonlinear Waves in a Weakly Magnetized Relativistic Electron-Positron Plasma with Temperature, Phy...

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Clarification of the Hall Effect as an Energy Transfer Mechanism i...

By: A. De Paor

Description: Department of Electronic and Electrical Engineering, National University of Ireland, Dublin, Belfield, Dublin 4, Ireland. Clarification is offered of the energy transfer role played by the Hall effect in a recent paper: de Paor, A., A theory of the Earth's magnetic field and of sunspots, based on a self-excited dynamo incorporating the Hall effect, Nonlinear Processes in Geophysics, 8, 265-279, 2001.

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Fractal Behavior in Continental Crustal Heat Production : Volume 1...

By: R. P. Srivastava; O. P. Pandey; V. P. Dimri; N. Vedanti

Description: National Geophysical Research Institute, Council of Scientific and Industrial Research, Uppal Road, Hyderabad 500 007, India. The distribution of crustal heat production, which is the most important component in the elucidation of continental thermal structure, still remains a theoretical assumption. In general the heat production values must decrease with depth, but the form of decrease of heat production in the crust is not well understood. The commonl...

Dimri, V. P.: Application of Fractals in Earth Sciences, edited by: Dimri, V. P., Oxford & IBH Publishing Co. PVT LTD., New Delhi, 238 pp., 2000.; Dimri, V. P.: Fractal Behaviour of the Earth System, edited by: Dimri, V. P., Springer, New York, 207 pp., 2005.; Furukawa, Y. and Uyeda, S.: Thermal state under the Tohoko Arc with consideration of crustal heat generation, Tectonophysics, 164, 175–187, 1989.; Lachenbruch, A. H.: Preliminary geothermal model of the Sierra Neva...

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Non-equilibrium Quasi-stationary States in a Magnetized Plasma : V...

By: S. V. Ratynskaia; O. E. Garcia; J.-v. Paulsen; V. I. Demidov; K. Rypdal

Description: Department of Physics, University of Tromsø, 9037 Tromsø, Norway. Non-equilibrium quasi-stationary states resulting from curvature driven interchange instabilities and drift-wave instabilities in a low beta, weakly ionized, magnetized plasma are investigated in the context of laboratory experiments in a toroidal configuration. Analytic modelling, numerical simulations and experimental results are discussed with emphasis on identifying...

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Double Rank-ordering Technique of Roma (Rank-ordered Multifractal ...

By: T. Chang; S. W. Y. Tam

Description: Institute of Space, Astrophysical and Plasma Sciences, National Cheng Kung University, Tainan, Taiwan. Rank-Ordered Multifractal Analysis (ROMA), a technique capable of deciphering the multifractal characteristics of intermittent fluctuations, was originally applied to the results of a magnetohydrodynamic (MHD) simulation. Application of ROMA to measured fluctuations in the auroral zone, due to the dominant physical effects changing from kinetic to MHD ...

Burlaga, L.: Intermittent turbulence in the solar wind, J. Geophys. Res., 96, 5847–5851, 1991.; Bruno, R., Carbone, V., Veltri, P., Pietropaolo, E., and Bavassano, B.: Identifying intermittent events in the solar wind, Planet. Space Sci., 49, 1201–1210, 2001.; Chang, T., Tam, S. W. Y., and Wu, C. C.: Complexity induced anisotropic bimodal intermittent turbulence in space plasmas, Phys. Plasmas, 11, 1287–1299, 2004.; Chang, T.: Colloid-like behavior and topological phase ...

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Stochastic Parametric Resonance in Shear Flows : Volume 12, Issue ...

By: M. Scott; F. J. Poulin

Description: University of Waterloo, Waterloo, Ontario, Canada. Time-periodic shear flows can give rise to Parametric Instability (PI), as in the case of the Mathieu equation (Stoker, 1950; Nayfeh and Mook, 1995). This mechanism results from a resonance between the oscillatory basic state and waves that are superimposed on it. Farrell and Ioannou (1996a, b) explain that PI occurs because the snap-shots of the velocity profile are subject to transient growth. If the...

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Intergyre Transport in a Wind-driven, Quasigeostrophic Double Gyre...

By: S. Wiggins; C. Coulliette

Description: Control and Dynamical Systems and Environmental Engineering Science, 107-81, Caltech, Pasadena, CA, 91125, USA. We study the flow obtained from a three-layer, eddy-resolving quasigeostrophic ocean circulation model subject to an applied wind stress curl. For this model we will consider transport between the northern and southern gyres separated by an eastward jet. We will focus on the use of techniques from dynamical systems theory, particularly lobe dyn...

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Robust Nonlinear Canonical Correlation Analysis: Application to Se...

By: W. W. Hsieh; A. J. Cannon

Description: Meteorological Service of Canada, Environment Canada, 201-401 Burrard Street, Vancouver, BC V6C 3S5, Canada. Robust variants of nonlinear canonical correlation analysis (NLCCA) are introduced to improve performance on datasets with low signal-to-noise ratios, for example those encountered when making seasonal climate forecasts. The neural network model architecture of standard NLCCA is kept intact, but the cost functions used to set the model parameters ...

Barnett, T P. and Preisendorfer, R.: Origins and levels of monthly and seasonal forecast skill for United States surface air temperatures determined by canonical correlation analysis, Mon. Weather Rev., 115, 1825–1850, 1987.; Barnston, A G. and Ropelewski, C F.: Prediction of ENSO episodes using canonical correlation-analysis, J. Climate, 5, 1316–1345, 1992.; Bishop, C M.: Neural Networks for Pattern Recognition, Oxford University Press, Oxford, 504 pp., 1995.; Cannon, A...

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A Fault and Seismicity Based Composite Simulation in Northern Cali...

By: J. B. Rundle; M. B. Yıkılmaz; L. H. Kellogg; E. M. Heien; D. L. Turcotte

Description: Department of Geology, University of California, Davis One Shields Avenue, Davis, CA 95616-8605, USA. We generate synthetic catalogs of seismicity in northern California using a composite simulation. The basis of the simulation is the fault based Virtual California (VC) earthquake simulator. Back-slip velocities and mean recurrence intervals are specified on model strike-slip faults. A catalog of characteristic earthquakes is generated for a period of 10...

Bakun, W. H., Aagaard, B., Dost, B., Ellsworth, W. L., Hardebeck, J. L., Harris, R. A., Ji, C., Johnston, M. J. S., Langbein, J., Lienkaemper, J. J., Michael, A. J., Murray, J. R., Nadeau, R. M., Reasenberg, P. A., Reichle, M. S., Roeloffs, E. A., Shakal, A., Simpson, R. W., and Waldhauser, F.: Implications for prediction and hazard assessment from the 2004 Parkfield earthquake, Nature, 437, 969–974, 2005.; Bath, M.: Lateral inhomogeneities of upper mantle, Tectonophysic...

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Turning the Resistive Mhd Into a Stochastic Field Theory : Volume ...

By: G. Consolini; M. Materassi

Description: Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche, 50019 Sesto Fiorentino (Firenze), Italy. Classical systems stirred by random forces of given statistics may be described via a path integral formulation in which their degrees of freedom are stochastic variables themselves, undergoing a multiple-history probabilistic evolution. This framework seems to be easily applicable to resistive Magneto-Hydro-Dynamics (MHD). Indeed, MHD equations f...

Borovsky, J. E., and Funsten, H. O.: MHD turbulence in the Earth's plasma sheet: Dynamics, dissipation and driving, J. Geophys. Res., 108, 1284, doi:1.1029/2002JA009625, 2003.; Bruno, R., Carbone, V., Veltri, P., et al.: Identifying intermittency events in the solar wind, Planet. Space, Sci., 49, 1201–1210, 2001.; Bruno, R. and Carbone, V.: The solar wind as a turbulence laboratory, Living Reviews in Solar Physics, 2(4), http://www.livingreviews.org/lrsp- 2005-4, 2005.; ...

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Resonant Excitation of Coastal Kelvin Waves in the Two-layer Rotat...

By: V. Zeitlin

Description: Institut Universitaire de France, Laboratoire de Météorologie Dynamique, UMR8539, CNRS – University P. and M. Curie, Paris, France. Resonant excitation of coastal Kelvin waves by free inertia–gravity waves impinging on the coast is studied in the framework of the simplest baroclinic model: two-layer rotating shallow water with an idealized straight coast. It is shown that, with respect to the previous results obtained with the one-layer model, new resona...

Fedorov, A. V. and Melville, W. K.: On the propagation and breaking of nonlinear Kelvin waves, J. Phys. Oceanogr., 25, 2519–2531, 1995.; Fedoryuk, M. V.: Method of steepest descent, Nauka, Moscow, 1977.; Gill, A. E.: Atmosphere-Ocean Dynamics, AP, London, 1982.; LeCunuder, A.: Excitation résonnante des ondes de Kelvin côtières dans le modèle Saint-Venant à deux couches en rotation, Master thesis, University P. and M. Curie, Paris, unpublished, 2013.; Reznik, G. M. and Ze...

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Centrifugally Driven Convection in the Rotating Cylindrical Annulu...

By: F. H. Busse; M. Westerburg

Description: Institute of Physics, University of Bayreuth, D-95440 Bayreuth, Germany. The effect of sinusoidally modulated conical end boundaries on convection in a rotating cylindrical annulus is investigated theoretically and experimentally. A quasiperiodic time dependence of convection in the form of thermal Rossby waves is found and semi-quantitative agreement between theory and measurements can be established. The results are relevant to convecti...

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Multifractal Two-scale Cantor Set Model for Slow Solar Wind Turbul...

By: A. Wawrzaszek; W. M. MacEk

Description: Space Research Centre, Polish Academy of Science, Bartycka 18A, 00-716 Warsaw, Poland. To quantify solar wind turbulence, we consider a generalized two-scale weighted Cantor set with two different scales describing nonuniform distribution of the kinetic energy flux between cascading eddies of various sizes. We examine generalized dimensions and the corresponding multifractal singularity spectrum depending on one probability measure parameter and two res...

Bruno, R. and Carbone, V.: The solar wind as a turbulence laboratory, Living Rev. Sol. Phys., 2, lrsp2005–4, 2005.; Bruno, R., Carbone, V., Sorriso-Valvo, L., and Bavassano, B.: Radial evolution of solar wind intermittency in the inner heliosphere, J. Geophys. Res., 108, 1130, doi:10.1029/2002JA009615, 2003.; Burlaga, L. F.: Multifractal structure of the interplanetary magnetic field - Voyager 2 observations near 25 AU, ...

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Geometric and Topological Approaches to Significance Testing in Wa...

By: C. Duffy; R. G. Najjar; J. A. Schulte

Description: Department of Meteorology, Pennsylvania State University, University Park, Pennsylvania, USA. Geometric and topological methods are applied to significance testing in the wavelet domain. A geometric test was developed for assigning significance to pointwise significance patches in local wavelet spectra, i.e., contiguous regions of significant wavelet power coefficients with respect to some noise model. This geometric significance test was found to produc...

Barber, C. B., Dobkin, D. P., and Huhdanpaa, H.: Quickhull Algorithm for Convex Hulls, ACM T. Math. Software, 22, 469–483, 1996.; Baxandall, P. and Liebeck, H.: Vector Calculus, Dover Publications, Inc., Mineloa, New York, USA, 550 pp., 2008.; Benjamini, Y. and Hochberg, Y.: Controlling the False Discovery Rate: A Practical and Power Approach to Multiple Testing, J. Roy. Stat. Soc., 57, 289–300, 1995.; Benjamini, Y. and Yekutieli, D.: The Control of the False Discovery R...

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A Novel Method for Analyzing the Process of Abrupt Climate Change ...

By: W. Hou; G. L. Feng; P. C. Yan

Description: College of Atmospheric Sciences, Lanzhou University, Lanzhou, China. A climate system which is transitioning from one state to another is known as an abrupt climate change. Most of the recent studies regarding abrupt climate change have focused on the changes occurring before and after the abrupt change point, while little attention has been given to the transition process which occurs when the system breaks away from the original state to a new state. ...

Alexander, R., Reinhard, C., and Andrey, G.: Multistability and critical thresholds of the Greenland ice sheet, Nat. Clim. Change, 2, 429–432, 2012.; Alley, R. B., Marotzke, J., Nordhaus, W. D., Overpeck, J. T., Peteet, D. M., Pielke, R. A., Pierrehumbert Jr., R. T., Rhines, P. B., Stocker, T. F., Talley, L. D., and Wallace, J. M.: Abrupt climate change, Science, 299, 2005–2010, 2003.; Baker, M. B. and Charlson, R, J.: Bistability of CCN concentrations and thermodynamics...

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Prediction of the Stochastic Behaviour of Nonlinear Systems by Det...

By: A. D. Kirwan, Jr.; O. V. Melnichenko; L. M. Ivanov

Description: Marine Hydrophysical Institute of the Ukranian Academy of Sciences, Sevastopol, Ukraine. Assuming that the behaviour of a nonlinear stochastic system can be described by a Markovian diffusion approximation and that the evolution equations can be reduced to a system of ordinary differential equations, a method for the calculation of prediction time is developed. In this approach, the prediction time depends upon the accuracy of prediction, the intensity o...

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Percolation on Anisotropic Media, the Bethe Lattice Revisited. App...

By: M. Ayt Ougoudal; M. Canals

Description: CREGU, BP23, 5401 Vandoeuvre-lès-Nancy cedex, France. A bond-percolation model based on the Bethe Lattice is presented. This model handles anisotropic and multiscale situations where, typically, the bond probability is non unique and depends on the sites it connects. The model is governed by a set of non-linear equations which are solved numerically. As a result, the structure of the network is obtained: strength...

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