SINGULAR PERTURBATIONS AND BOUNDARY LAYER THEORY FOR CONVECTION-DIFFUSION EQUATIONS IN A CIRCLE: THE GENERIC NONCOMPATIBLE CASE
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- SINGULAR PERTURBATIONS AND BOUNDARY LAYER THEORY FOR CONVECTION-DIFFUSION EQUATIONS IN A CIRCLE: THE GENERIC NONCOMPATIBLE CASE
- Jung, Chang-Yeol; Temam, Roger
- Boundary layer theory; Characteristic point; Convection-diffusion equations; Noncompatible data; Singular behavior; Singular perturbations; Thermohydraulics
- Issue Date
- SIAM PUBLICATIONS
- SIAM JOURNAL ON MATHEMATICAL ANALYSIS, v.44, no.6, pp.4274 - 4296
- We study the boundary layers and singularities generated by a convection-diffusion equation in a circle with noncompatible data. More precisely, the boundary of the circle has two characteristic points where the boundary conditions and the external data $f$ are not compatible. Very complex singular behaviors are observed, and we analyze them systematically for highly noncompatible data. The problem studied here is a simplified model for problems of major importance in fluid mechanics and thermohydraulics and in physics.
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