Some comments on a singular elliptic problem associated with a rectangle

DOI10.1017/S0308210500011598zbMath0411.35038MaRDI QIDQ4199162

V. A. Nye

Publication date: 1979

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

approximate solutionsingular elliptic problemboundary dataparabolic boundary layersordinary boundary layers

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Analyticity in context of PDEs (35A20) Theoretical approximation in context of PDEs (35A35)

Related Items (2)

Further observations on the anharmonic motion equation ⋮ Application to magnetohydrodynamic duct flows of a singular elliptic problem associated with a rectangle

Cites Work

• Magnetohydrodynamic flow in a rectangular channel at high Hartmann number
• Asymptotic solutions of singular perturbation problems for linear differential equations of elliptic type
• On singular perturbation and parabolic boundary layers
• On the asymptotic theory of dissipative wave motion
• Unsteady Magnetohydrodynamic Flows
• Magnetohydrodynamic Flow in an Insulated Rectangular Duct with an Oblique Transverse Magnetic Field
• The Behavior as $\varepsilon \to + 0$ of Solutions to $\varepsilon \nabla ^2 w = {{\partial w} / {\partial y}}$ in $| y | \leqq 1$ for Discontinuous Boundary Data
• The Behavior as $\varepsilon \to 0^ + $ of Solutions to $\varepsilon \nabla ^2 w = ({\partial / {\partial y}})w$ on the Rectangle $0 \leqq x \leqq l$,$| y | \leqq 1$
• Magnetohydrodynamic flow in a rectangular tube at high Hartmann number

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