Computational Mathematics and Mathematical Physics · 2013 · 18 citations · 1 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsFluid DynamicsPartial Differential EquationsPerturbation MethodsPerturbation TheorySingular Perturbation TheorySystems Of Differential EquationsWeak FormulationElliptic Boundary-value ProblemsElliptic FlowElliptic Partial Differential EquationsPerturbed Differential-algebraic EquationsSingular Perturbation AnalysisSingular Perturbations In Partial Differential EquationsSingularly Perturbed Initial Value Problems
A singularly perturbed boundary value problem for a system of elliptic equations in a two-dimensional region is considered. The asymptotics and existence of a solution with an internal transition layer are studied. The asymptotics is justified by the method of differential inequalities.
1