Asymptotic analysis for singularly perturbed convection-diffusion equations with a turning point

DOI10.1063/1.2347899zbMath1144.81363OpenAlexW1971266056MaRDI QIDQ3529771

Chang-Yeol Jung, Roger M. Temam

Publication date: 14 October 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://scholarworks.unist.ac.kr/handle/201301/8594

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Incompressible viscous fluids (76D99) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Asymptotic expansions of solutions to PDEs (35C20) Diffusion and convection (76R99) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (14)

An exponential convergence approximation to singularly perturbed problems by log orthogonal functions ⋮ Parameter-uniform numerical scheme for singularly perturbed parabolic convection-diffusion Robin type problems with a boundary turning point ⋮ Finite volume approximation of one-dimensional stiff convection-diffusion equations ⋮ Semi‐analytic time differencing methods for singularly perturbed initial value problems ⋮ An almost second-order robust computational technique for singularly perturbed parabolic turning point problem with an interior layer ⋮ Finite volume approximation of stiff problems on two-dimensional curvilinear domain ⋮ Enriched spectral method for stiff convection-dominated equations ⋮ Singularly perturbed problems with a turning point: The non-compatible case ⋮ Convection-diffusion equations in a circle: the compatible case ⋮ Enriched numerical scheme for singularly perturbed barotropic quasi-geostrophic equations ⋮ Semi-analytic shooting methods for Burgers' equation ⋮ Semi-analytical time differencing methods for stiff problems ⋮ Recent progresses in boundary layer theory ⋮ New time differencing methods for spectral methods

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