Special features of strongly coupled systems of convection–diffusion equations with two small parameters

Strong coupling of convection–diffusion equations with two small parameters generates a solution decomposition which differs significantly from that for the one-parameter case. We explain the basic features and prove pointwise estimates for the first-order derivatives which allow us to analyze the u...

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Veröffentlicht in:Applied mathematics letters 2012-08, Vol.25 (8), p.1127-1130
1. Verfasser: Roos, Hans-G.
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description Strong coupling of convection–diffusion equations with two small parameters generates a solution decomposition which differs significantly from that for the one-parameter case. We explain the basic features and prove pointwise estimates for the first-order derivatives which allow us to analyze the upwind finite difference scheme on layer-adapted meshes.
doi_str_mv 10.1016/j.aml.2012.02.018
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subjects Boundary layers
Convection–diffusion equation
Decomposition
Derivatives
Estimates
Joining
Mathematical analysis
Singular perturbation
System
title Special features of strongly coupled systems of convection–diffusion equations with two small parameters
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