Singularly perturbed problems with boundary and internal layers
From MaRDI portal
Publication:600725
DOI10.1134/S0081543810010189zbMath1207.35039MaRDI QIDQ600725
A. B. Vasil'eva, V. F. Butuzov, Nikolai N. Nefedov
Publication date: 1 November 2010
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
lower and upper solutionssingular perturbationsasymptotic expansionsparabolic problemsinternal layerscontrast structures
Related Items (54)
Contrast structures in the reaction-diffusion-advection problem in the case of a weak reaction discontinuity ⋮ Internal layers in the one-dimensional reaction-diffusion equation with a discontinuous reactive term ⋮ Existence and stability of solutions with boundary layers in multidimensional singularly perturbed reaction-diffusion-advection problems ⋮ Asymptotic solutions of singularly perturbed integro-differential systems with rapidly oscillating coefficients in the case of a simple spectrum ⋮ Features of numerical reconstruction of a boundary condition in an inverse problem for a reaction-diffusion-advection equation with data on the position of a reaction front ⋮ Step-like contrast structure for a quasilinear system of singularly perturbed differential equations with a zero characteristic number ⋮ Existence and asymptotic stability of periodic solutions of the reaction-diffusion equations in the case of a rapid reaction ⋮ Existence and stability of periodic contrast structures in the reaction-advection-diffusion problem in the case of a balanced nonlinearity ⋮ Asymptotics of a steplike contrast structure in a partially dissipative stationary system of equations ⋮ Time-independent reaction-diffusion equation with a discontinuous reactive term ⋮ Contrast structures in singularly perturbed quasilinear reaction-diffusion-advection equations ⋮ Contrast structures for a quasilinear Sobolev-type equation with unbalanced nonlinearity ⋮ On Extension of Asymptotic Comparison Principle for Time Periodic Reaction-Diffusion-Advection Systems with Boundary and Internal Layers ⋮ Existence and asymptotic stability of a stationary boundary-layer solution of the two-dimensional reaction-diffusion-advection problem ⋮ Asymptotics of the solution of a singularly perturbed second-order delay differential equation ⋮ Asymptotically stable stationary solutions of the reaction-diffusion-advection equation with discontinuous reaction and advection terms ⋮ Asymptotics of the front motion in the reaction-diffusion-advection problem ⋮ On one model problem for the reaction-diffusion-advection equation ⋮ Internal layer for a system of singularly perturbed equations with discontinuous right-hand side ⋮ Existence, asymptotics, stability and region of attraction of a periodic boundary layer solution in case of a double root of the degenerate equation ⋮ Generalizing the infectious disease model to account for sorption therapy in conditions of diffusion disorders ⋮ The models of gradient mechanics and singularly perturbed boundary value problems ⋮ Singularly perturbed stationary diffusion model with a cubic nonlinearity ⋮ Asymptotics of the solution to a stationary piecewise-smooth reaction-diffusion-advection equation ⋮ On the features of numerical solution of coefficient inverse problems for nonlinear equations of the reaction-diffusion-advection type with data of various types ⋮ On a class of vector fields with discontinuities of divide-by-zero type and its applications to geodesics in singular metrics ⋮ Asymptotically stable periodic solutions in one problem of atmospheric diffusion of impurities: asymptotics, existence, and uniqueness ⋮ On a periodic inner layer in the reaction-diffusion problem with a modular cubic source ⋮ Internal layers for a singularly perturbed second-order quasilinear differential equation with discontinuous right-hand side ⋮ A step-type solution for the affine singularly perturbed problem of optimal control ⋮ Internal layer for a singularly perturbed equation with discontinuous right-hand side ⋮ Existence and stability of periodic contrast structure in reaction-advection-diffusion equation with discontinuous reactive and convective terms ⋮ Periodic boundary layer solutions of a reaction-diffusion problem with singularly perturbed boundary conditions of the third kind ⋮ Multidimensional thermal structures in the singularly perturbed stationary models of heat and mass transfer with a nonlinear thermal diffusion coefficient ⋮ Contrast structures in problems for a stationary equation of reaction-diffusion-advection type with discontinuous nonlinearity ⋮ Existence of a solution in the form of a moving front of a reaction-diffusion-advection problem in the case of balanced advection ⋮ Application of a numerical-asymptotic approach to the problem of restoring the parameters of a local stationary source of anthropogenic pollution ⋮ Step-like contrast structure for a nonlinear system of singularly perturbed differential equations in the critical case ⋮ Existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations ⋮ Nonstationary fronts in the singularly perturbed power-society model ⋮ Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front ⋮ On asymptotics for the solution of a singularly perturbed parabolic problem with a multizone internal transition layer ⋮ Solution with an inner transition layer of a two-dimensional boundary value reaction-diffusion-advection problem with discontinuous reaction and advection terms ⋮ Existence and stability of periodic contrast structures in the reaction-advection-diffusion problem ⋮ Multizonal internal layers in the singularly perturbed equation with a discontinuous right-hand side ⋮ Existence and asymptotic stability of periodic two-dimensional contrast structures in the problem with weak linear advection ⋮ On unstable solutions with a nonmonotone boundary layer in a two-dimensional reaction-diffusion problem ⋮ Solution of contrast structure type for a reaction-diffusion equation with discontinuous reactive term ⋮ Development of methods of asymptotic analysis of transition layers in reaction-diffusion-advection equations: theory and applications ⋮ Contrast structures in the reaction-diffusion-advection equations in the case of balanced advection ⋮ Asymptotics of a Spike type contrast structure in a problem with a multiple root of the degenerate equation ⋮ Asymptotic stability of a stationary solution of a multidimensional reaction-diffusion equation with a discontinuous source ⋮ ON THE ASYMPTOTIC SOLUTION TO A TYPE OF PIECEWISE-CONTINUOUS SECOND-ORDER DIRICHLET PROBLEMS OF TIKHONOV SYSTEM ⋮ Step-like contrast structure in a singularly perturbed system of parabolic equations
Cites Work
This page was built for publication: Singularly perturbed problems with boundary and internal layers