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

Abstract

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.We consider the system of equationswith the boundary conditions ) where E(x) is the electric field strength, n(x) is the electron density, the constant f > 0 defines the homogeneous density of the ionized ingredient, D(IEI) is the diffusion coefficient, and J0 is the electron beam density for x = O. We set J0 = fc, where c is a constant. Let the diffusion coefficient satisfy the following conditions: The problem (1), (1') is equivalent to the boundary-value problem eE" + eE'E = H(E, c),