Long Range Prediction and Scaling Limit for Statistical Solutions of The Burgers’ Equation

1993 ◽  
pp. 313-338 ◽  
Author(s):  
D. Surgailis ◽  
W. A. Woyczyński
Keyword(s):  
Long Range ◽  
Burgers Equation ◽  
Scaling Limit ◽  
Statistical Solutions ◽  
Long Range Prediction

Long-range prediction of epileptic seizures with nonlinear dynamics

2010 ◽  
Author(s):  
Stephen J. Guastello ◽  
Henry Boeh ◽  
Mark Lynn
Keyword(s):  
Nonlinear Dynamics ◽  
Long Range ◽  
Epileptic Seizures ◽  
Long Range Prediction

Long-Range Prediction of Regional Sea Ice Anomalies in the Arctic

1991 ◽  
Vol 6 (2) ◽  
pp. 271-288 ◽  
Author(s):  
William L. Chapman ◽  
John E. Walsh
Keyword(s):  
Sea Ice ◽  
Long Range ◽  
The Arctic ◽  
Long Range Prediction

Burgers' equation by non-local shot noise data

1994 ◽  
Vol 31 (A) ◽  
pp. 351-362 ◽  
Author(s):  
Donatas Surgailis ◽  
Wojbor A. Woyczynski
Keyword(s):  
Shot Noise ◽  
Random Fields ◽  
Burgers Equation ◽  
Initial Conditions ◽  
Scaling Limit ◽  
Linear Partial Differential Equation ◽  
Local Case ◽  
Non Linear ◽  
Noise Data ◽  
Non Local

We study the scaling limit of random fields which are solutions of a non-linear partial differential equation, known as the Burgers equation, under stochastic initial conditions. These are assumed to be of a non-local shot noise type and driven by a Cox process. Previous work by Bulinskii and Molchanov (1991), Surgailis and Woyczynski (1993a), and Funaki et al. (1994) concentrated on the case of local shot noise data which permitted use of techniques from the theory of random fields with finite range dependence. Those are not available for the non-local case being considered in this paper.Burgers' equation is known to describe various physical phenomena such as non-linear and shock waves, distribution of self-gravitating matter in the universe, and other flow satisfying conservation laws (see e.g. Woyczynski (1993)).

Long-range prediction for poorly-known systems

1995 ◽  
Vol 62 (1) ◽  
pp. 227-238 ◽  
Author(s):  
BENEDIKT SCHENKER ◽  
MUKUL AGARWAL
Keyword(s):  
Long Range ◽  
Long Range Prediction

Modular modelling of an evaporator for long-range prediction

1997 ◽  
Vol 11 (4) ◽  
pp. 347-355 ◽  
Author(s):  
N.T. Russell ◽  
H.H.C. Bakker
Keyword(s):  
Long Range ◽  
Modular Modelling ◽  
Long Range Prediction
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