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Asymptotic behavior of interior transition layers for nonlinear boundary-value problem with small parameter

Authors:

E Z Borevich

Abstract:

The system of equations

$$(D(|E|)(n' + nE))' = 0, E' = f - n, 0< x< 1,$$

with the boundary conditions

$E(0) = a_0 , E(1) = \alpha _1 , D(|E(0)|)(n'(0) + n(0)E(0)) = j_0$

is considered. The solvability of this boundary-value problem and properties of the family of solutions are studied under the condition that the diffusion coefficient is negative. Bibliography: 5 titles. Translated fromProblemy Matematicheskogo Analiza, No. 17, 1997, pp. 72–82.

Keywords:

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