2D Fourier Theory

2005 ◽  
pp. 30-49 ◽  
Author(s):  
Jonathan M. Blackledge
Keyword(s):  
Fourier Theory

Fourier theory of jumps applied to converter harmonic analysis

2001 ◽  
Vol 37 (1) ◽  
pp. 109-122 ◽  
Author(s):  
D.J. Tooth ◽  
S.J. Finney ◽  
B. Williams
Keyword(s):  
Harmonic Analysis ◽  
Fourier Theory

Diaphony, a measure of uniform distribution, and the Patterson function

2015 ◽  
Vol 71 (4) ◽  
pp. 382-391 ◽  
Author(s):  
Wolfgang Hornfeck ◽  
Philipp Kuhn
Keyword(s):  
Uniform Distribution ◽  
Structure Factor ◽  
Interplanar Spacing ◽  
Theory Approach ◽  
Point Sets ◽  
Patterson Function ◽  
Theoretic Concept ◽  
Number Sequences ◽  
Fourier Theory ◽  
Factor Equation

This paper reviews the number-theoretic concept ofdiaphony, a measure of uniform distribution for number sequences and point sets based on a Fourier theory approach, and its relation to crystallographic concepts like the largest interplanar spacing of a lattice, the structure-factor equation and the Patterson function.

Fourier Theory

2020 ◽  
pp. 397-419
Author(s):  
Nirdosh Bhatnagar
Keyword(s):  
Fourier Theory

Global Well-Posedness and Convergence Results for the 3D-Regularized Boussinesq System

2012 ◽  
Vol 64 (6) ◽  
pp. 1415-1435 ◽  
Author(s):  
Ridha Selmi
Keyword(s):  
Existence And Uniqueness ◽  
Analytical Study ◽  
Approximation Scheme ◽  
Boussinesq System ◽  
Well Posedness ◽  
Energy Methods ◽  
Unique Weak Solution ◽  
Frequency Space ◽  
Convergence Results ◽  
Fourier Theory

Abstract Analytical study of the regularization of the Boussinesq systemis performed in frequency space using Fourier theory. Existence and uniqueness of weak solutions with minimum regularity requirement are proved. Convergence results of the unique weak solution of the regularized Boussinesq system to a weak Leray-Hopf solution of the Boussinesq system are established as the regularizing parameter α vanishes. The proofs are done in the frequency space and use energy methods, the Arselà-Ascoli compactness theorem and a Friedrichs-like approximation scheme.

Fourier theory

2013 ◽  
pp. 36-90
Author(s):  
Dave Benson
Keyword(s):  
Fourier Theory

Simulation of Thermal Transport in Nanowire Composites for Macro-Electronics Applications

2004 ◽  
Author(s):  
Satish Kumar ◽  
Jayathi Y. Murthy ◽  
M. A. Alam
Keyword(s):  
Thin Film ◽  
Biot Number ◽  
Thermal Transport ◽  
Thin Film Transistors ◽  
Finite Volume Scheme ◽  
Temperature Profiles ◽  
Number Density ◽  
Plastic Substrates ◽  
Self Heating ◽  
Fourier Theory

Thermal transport in thin film transistors (TFTs) composed of nanowires embedded in plastic substrates is considered. Random ensembles of intersecting and contacting wires embedded in a substrate are analyzed using Fourier theory. Heat generation due to self-heating is included. A finite volume scheme is used to obtain the temperature solutions in the wires and substrate. Temperature profiles in the ensemble are investigated as a function of wire number density, wire-contact Biot number as well as the Biot number for heat transfer to the substrate.

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