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

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.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary layers
Convection–diffusion equation
Decomposition
Derivatives
Estimates
Joining
Mathematical analysis
Singular perturbation
System
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Zusammenfassung: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.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2012.02.018