Existence and Asymptotic Stability of a Stationary Boundary-Layer Solution of the Two-Dimensional Reaction–Diffusion–Advection Problemстатья
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Аннотация:We prove the existence and the Lyapunov asymptotic stability of a stationary
boundary layer solution of the initial–boundary value problem for a two-dimensional singularly
perturbed reaction—diffusion—advection equation. We construct an asymptotic approximation
to this solution using the boundary function method. The proofs are based on the applicability
of the asymptotic method of differential inequalities.