Asymptotic Analysis of A Backward-Forward Parabolic Problem for Data-Handling Systems

2000 ◽  
Vol 61 (3) ◽  
pp. 914-933 ◽  
Author(s):  
Charles Knessl
Keyword(s):  
Asymptotic Analysis ◽  
Parabolic Problem ◽  
Data Handling

Asymptotic analysis of a multiscale parabolic problem with a rough fast oscillating interface

2018 ◽  
Vol 89 (3) ◽  
pp. 437-465 ◽  
Author(s):  
Patrizia Donato ◽  
Editha C. Jose ◽  
Daniel Onofrei
Keyword(s):  
Asymptotic Analysis ◽  
Parabolic Problem

scholarly journals Asymptotic analysis of a perturbed parabolic problem in a thick junction of type 3:2:2

2007 ◽  
Vol 2 (2) ◽  
pp. 255-277 ◽  
Author(s):  
Ciro D’Apice ◽  
◽  
Umberto De Maio ◽  
T. A. Mel'nyk ◽  
◽  
...  
Keyword(s):  
Asymptotic Analysis ◽  
Parabolic Problem ◽  
Type 3

Ray solution of a backward–forward parabolic problem for data-handling systems

2000 ◽  
Vol 11 (1) ◽  
pp. 1-12 ◽  
Author(s):  
CHARLES KNESSL ◽  
JOSEPH B. KELLER
Keyword(s):  
Differential Equation ◽  
Parabolic Problem ◽  
Parabolic Partial Differential Equation ◽  
Data Handling ◽  
Ray Method ◽  
Small Diffusion ◽  
Handling System ◽  
Turn On ◽  
Layer Method ◽  
Boundary Layer Method

A problem for a backward–forward parabolic partial differential equation with a small diffusion coefficient ε is analyzed. The problem arises in describing the stochastic behaviour of a data-handling system with a large number of sources which turn on or off at random. We solve the problem asymptotically for ε small by using the ray method and the boundary layer method.

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