Systematic derivation of all the inequalities of Einstein locality

1980 ◽  
Vol 10 (3-4) ◽  
pp. 209-216 ◽  
Author(s):  
A. Garuccio ◽  
F. Selleri
Keyword(s):  
Einstein Locality ◽  
Systematic Derivation

scholarly journals Brownian Swarm Dynamics and Burgers’ Equation with Higher Order Dispersion

Symmetry ◽  
2020 ◽  
Vol 13 (1) ◽  
pp. 57
Author(s):  
Max-Olivier Hongler
Keyword(s):  
Burgers Equation ◽  
Higher Order ◽  
Underlying Structure ◽  
Swarm Dynamics ◽  
Special Cases ◽  
Kink Waves ◽  
Systematic Derivation ◽  
Fifth Order ◽  
Higher Order Dispersion ◽  
Order Dispersion

The concept of ranked order probability distribution unveils natural probabilistic interpretations for the kink waves (and hence the solitons) solving higher order dispersive Burgers’ type PDEs. Thanks to this underlying structure, it is possible to propose a systematic derivation of exact solutions for PDEs with a quadratic nonlinearity of the Burgers’ type but with arbitrary dispersive orders. As illustrations, we revisit the dissipative Kotrweg de Vries, Kuramoto-Sivashinski, and Kawahara equations (involving third, fourth, and fifth order dispersion dynamics), which in this context appear to be nothing but the simplest special cases of this infinitely rich class of nonlinear evolutions.

scholarly journals Stochastic Einstein Locality Revisited

2007 ◽  
Vol 58 (4) ◽  
pp. 805-867 ◽  
Author(s):  
Jeremy Butterfield
Keyword(s):  
Einstein Locality

Design methodology for systematic derivation of fault-tolerant processor array architectures

1998 ◽  
Vol 84 (6) ◽  
pp. 615-624 ◽  
Author(s):  
D. SOUDRIS ◽  
P. POECHMUELLER ◽  
E. D. KYRIAKIS-BITZAROS ◽  
M. BIRBAS ◽  
C. GOUTIS ◽  
...  
Keyword(s):  
Design Methodology ◽  
Fault Tolerant ◽  
Processor Array ◽  
Systematic Derivation

scholarly journals Hydrodynamic Hamilton theory for discussing the space charge (Langmuir–Child Law) at high density particle currents between poles

1988 ◽  
Vol 6 (3) ◽  
pp. 579-586 ◽  
Author(s):  
Cord Passow
Keyword(s):  
Space Charge ◽  
Charge Carriers ◽  
The Self ◽  
Density Functions ◽  
Space Charge Limited Current ◽  
Stationary Plasma ◽  
Self Consistent ◽  
Solution Methods ◽  
Background Gas ◽  
Systematic Derivation

In order to calculate more generally the space-charge limited current between two points of different voltage, modern differential geometrical methods are applied. This problem was first treated by Child (1911) and later by Langmuir (1913). It is possible, for example, to account for effects due to more than one charge component as well as the influence of a neutral background gas (which causes ionization and scattering of charge carriers). A systematic derivation of the self-consistent representation based on a Hamilton theory for density functions is given, and solution methods are discussed. The concept is designed to investigate ion and electron diodes with very intense currents, but it may also be useful for treating space charge problems in a stationary plasma.

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