scholarly journals On the Gaussian theory of surfaces

2011 ◽  
pp. 331-336
Author(s):  
Arthur Cayley
Keyword(s):  
Gaussian Theory

Spatial Extreme Value Analysis of Nonlinear Simulations of Random Surface Waves

2004 ◽  
Author(s):  
Harald E. Krogstad ◽  
Jingdong Liu ◽  
Herve´ Socquet-Juglard ◽  
Kristian B. Dysthe ◽  
Karsten Trulsen
Keyword(s):  
Gravity Waves ◽  
Ocean Waves ◽  
Spatial Characteristic ◽  
Extreme Value Analysis ◽  
Extreme Waves ◽  
Random Surface ◽  
Value Analysis ◽  
Nonlinear Simulations ◽  
Gaussian Theory ◽  
Reconstructed Wave

The paper first recalls the Slepian Model Representation and a theorem of V. I. Piterbarg as generic tools for analyzing the spatial characteristic of ocean waves. We then consider numerical simulations of random surface gravity waves carried out in space and time by means of the modified nonlinear Schro¨dinger equation. It is shown that the extreme waves in the simulations are steeper and more asymmetric than predicted by the Gaussian theory. Moreover, the reconstructed wave fields shows extreme crest heights well in excess of what is expected from the Gaussian theory.

scholarly journals Gaussian theory for spatially distributed self-propelled particles

2016 ◽  
Vol 94 (6) ◽  
Author(s):  
Hamid Seyed-Allaei ◽  
Lutz Schimansky-Geier ◽  
Mohammad Reza Ejtehadi
Keyword(s):  
Spatially Distributed ◽  
Gaussian Theory

Aikitu Tanakadate and the Controversy over Vertical Electrical Currents in Geomagnetic Research

2001 ◽  
Vol 20 (2) ◽  
pp. 156-177 ◽  
Author(s):  
Haruyo Yoshida
Keyword(s):  
Electrical Currents ◽  
The Earth ◽  
Gaussian Theory

Aikitu Tanakadate (1856-1952) was a pioneer in geomagnetic research in Japan. This paper focuses on Tanakadale's investigation of vertical, electrical currents between the Earth and his atmosphere and his role in a controversy over these currents. This controversy arose after Adolf Schmidt (1860-1944) hypothesized these vertical currents in 1895. Debate was aroused over this question for two reasons: firstly it might upset the premise of the Gaussian theory of geomagnetic potential; and secondly it seemed to provide a key to revealing the mechanism of geomagnetism. Tanakadale did not doubt the existence of such currents, but he was skeptical about the method with which the hypothesis was tested. After 1939 the controversy died down, but never ended. The recent solution of this problem in 1992 shows that Tanakadate was far-sighted in criticizing the validity of the method which others used to test the hypothesis.

On the Existence of Optimal Paths and Cost Surfaces in Isotropic Continuous Transportation Models

1978 ◽  
Vol 10 (10) ◽  
pp. 1121-1130 ◽  
Author(s):  
T Puu
Keyword(s):  
Minimum Cost ◽  
Transportation Cost ◽  
Optimal Paths ◽  
Cost Surface ◽  
Transportation Models ◽  
Existence Conditions ◽  
Gaussian Theory ◽  
Cost Paths ◽  
The Cost ◽  
Sufficiency Conditions

In continuous transportation models, minimum-cost paths are obtained by variational methods, in analogy with geometrical optics. Previous contributions on this subject have stated the appropriate Euler equations and discussed the possibility of defining a transportation-cost surface on which optimal paths are geodesics. The present paper discusses the sufficiency conditions for optimal paths and the existence conditions for cost surfaces, in terms of Gaussian theory. It is also demonstrated that, when the transportation model is isotropic, the cost surface is conformal to the plane.

scholarly journals A Gaussian theory for fluctuations in simple liquids

2017 ◽  
Vol 146 (13) ◽  
pp. 134507 ◽  
Author(s):  
Matthias Krüger ◽  
David S. Dean
Keyword(s):  
Simple Liquids ◽  
Gaussian Theory
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