Asymptotic Behavior and Stability of a Stationary Boundary-Layer Solution to a Partially Dissipative System of Equations


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A boundary value problem for a singularly perturbed partially dissipative system of two ordinary differential equations of the second and first order, respectively, is considered. An asymptotic expansion of its boundary-layer solution in a small parameter is constructed and justified. This solution is a stationary solution of the corresponding evolution system of equations with partial derivatives. The asymptotic stability of a stationary boundary-layer solution is proved, and its local basin of attraction is found.

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V. Butuzov

Faculty of Physics, Lomonosov Moscow State University

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Email: butuzov@phys.msu.ru
俄罗斯联邦, Moscow, 119992

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