The general drift decomposition for diffusion with advection

A general class of advection-diffusion equations is considered for which a new kind of decomposition theorem exists. The systems studied have nonuniform and nonconstant advectionterms, but their solution can be written as a position- and time-dependent average of the solutions of diffusion equations...

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Bibliographic Details
Published in:IMA journal of applied mathematics 1996-04, Vol.56 (2), p.177-181
Main Author: JANSONS, K. M
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical analysis
Mathematics
Partial differential equations
Probability and statistics
Probability theory and stochastic processes
Sciences and techniques of general use
Stochastic analysis
Online Access:Get full text
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Summary:A general class of advection-diffusion equations is considered for which a new kind of decomposition theorem exists. The systems studied have nonuniform and nonconstant advectionterms, but their solution can be written as a position- and time-dependent average of the solutions of diffusion equations with uniform and constant drift terms. The types of advection possible resemble stagnation-point flows, and may have practical applications in that area. However, a much more important possibility is that this type of decomposition may be a first example of a much more general result.
ISSN:0272-4960
1464-3634
DOI:10.1093/imamat/56.2.177