On the special properties of the boundary layer in singularly perturbed problems with multiple root of the degenerate equation
Tóm tắt
Using the boundary-value problem for the singularly perturbed second-order differential equation as an example, we show that the multiplicity of the root of the degenerate equation significantly affects the asymptotics of the solution, especially in the boundary layer.
Tài liệu tham khảo
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V. F. Butuzov, “On periodic solutions to singularly perturbed parabolic problems in the case of multiple roots of the degenerate equation,” Zh. Vychisl.Mat. i Mat. Fiz. 51(1), 44–55 (2011) [Comput. Math. and Math. Phys. 51 (1), 40–50 (2011)].
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