SINGULAR PERTURBATION ANALYSIS ON A HOMOGENEOUS OCEAN CIRCULATION MODEL

DOI10.1142/S0219530511001832zbMath1229.76091MaRDI QIDQ3173107

Madalina Petcu, Chang-Yeol Jung, Roger M. Temam

Publication date: 10 October 2011

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

vorticitysingularly perturbed problemasymptotic analysisboundary layersstreamfunctionNavier-Stokesocean circulation model

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Boundary-layer theory for compressible fluids and gas dynamics (76N20)

Related Items (14)

Asymptotic stability and bifurcation of time-periodic solutions for the viscous Burgers' equation ⋮ An exponential convergence approximation to singularly perturbed problems by log orthogonal functions ⋮ Viscosity approximation of the solution to Burgers' equations with shock layers ⋮ Finite volume approximation of one-dimensional stiff convection-diffusion equations ⋮ On boundary layers for the Burgers equations in a bounded domain ⋮ Boundary layer analysis for the stochastic nonlinear reaction-diffusion equations ⋮ On the numerical approximations of stiff convection-diffusion equations in a circle ⋮ Asymptotic analysis of the scattering problem for the Helmholtz equations with high wave numbers ⋮ Singularly perturbed problems with a turning point: The non-compatible case ⋮ Boundary layer analysis of nonlinear reaction-diffusion equations in a smooth domain ⋮ The vanishing viscosity limit for some symmetric flows ⋮ Numerical approximation of the singularly perturbed heat equation in a circle ⋮ Singularly perturbed reaction–diffusion equations in a circle with numerical applications ⋮ Recent progresses in boundary layer theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary layer associated with the Darcy-Brinkman-Boussinesq model for convection in porous media
• Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions
• Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations
• Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II: Construction of the Navier-Stokes solution
• The Euler limit of the Navier-Stokes equations, and rotating fluids with boundary
• Boundary layers for viscous perturbations of noncharacteristic quasilinear hyperbolic problems
• Elliptic partial differential equations of second order
• Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case
• Existence and asymptotic representation of weak solutions to the flowing problem under the condition of regular slippage on solid walls
• On parabolic boundary layers for convection-diffusion equations in a channel: Analysis and numerical applications
• Euler equation in a channel in space dimension 2 and 3
• On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition
• Asymptotic Analysis of a Singular Perturbation Problem

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