An Analytical one-Dimensional Second-Order Closure Model of Turbulence Statistics and the Lagrangian Time Scale Within and Above Plant Canopies of Arbitrary Structure

1999 ◽  
Vol 91 (1) ◽  
pp. 81-107 ◽  
Author(s):  
W. J. Massman ◽  
J. C. Weil
Keyword(s):  
Time Scale ◽  
Second Order ◽  
Closure Model ◽  
Turbulence Statistics ◽  
One Dimensional ◽  
Arbitrary Structure ◽  
Plant Canopies ◽  
Lagrangian Time Scale

scholarly journals Preserving the Shape of Functions by Applying Multidimensional Schoenberg-Type Operators

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1016
Author(s):  
Camelia Liliana Moldovan ◽  
Radu Păltănea
Keyword(s):  
Applied Sciences ◽  
Degree Of Approximation ◽  
Higher Order ◽  
Second Order ◽  
Dimensional Case ◽  
Moduli Of Continuity ◽  
One Dimensional ◽  
Multidimensional Generalization ◽  
The One

The paper presents a multidimensional generalization of the Schoenberg operators of higher order. The new operators are powerful tools that can be used for approximation processes in many fields of applied sciences. The construction of these operators uses a symmetry regarding the domain of definition. The degree of approximation by sequences of such operators is given in terms of the first and the second order moduli of continuity. Extending certain results obtained by Marsden in the one-dimensional case, the property of preservation of monotonicity and convexity is proved.

One dimensional polymeric photonic crystal doped with second-order nonlinear optical chromophore

2009 ◽  
Author(s):  
Azusa Inoue ◽  
Shin-ichiro Inoue ◽  
Shiyoshi Yokoyama ◽  
Keisuke Kojima ◽  
Kei Yasui ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Nonlinear Optical ◽  
Second Order ◽  
One Dimensional ◽  
Nonlinear Optical Chromophore

Second-order controllability of two-time-scale multi-agent systems

2019 ◽  
Vol 343 ◽  
pp. 299-313 ◽  
Author(s):  
Mingkang Long ◽  
Housheng Su ◽  
Bo Liu
Keyword(s):  
Time Scale ◽  
Second Order ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent

scholarly journals Oscillation Criteria for Second Order Impulsive Delay Dynamic Equations on Time Scale

2021 ◽  
Vol 45 (4) ◽  
pp. 531-542
Author(s):  
GOKULA NANDA CHHATRIA ◽  
Keyword(s):  
Time Scale ◽  
Second Order ◽  
Dynamic Equations ◽  
Riccati Transformation ◽  
Transformation Technique ◽  
Oscillation Criteria ◽  
Delay Dynamic Equations ◽  
Impulsive Delay

In this work, we study the oscillation of a kind of second order impulsive delay dynamic equations on time scale by using impulsive inequality and Riccati transformation technique. Some examples are given to illustrate our main results.

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