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Asan ÖMÜRALİEV
Article | 2006 | Computational Mathematics and Mathematical Physics46 ( 8 )
A regularized asymptotic expansion of the solution to a singularly perturbed two-dimensional parabolic problem in domains with boundaries containing corner points is constructed. The asymptotics of solutions to such problems contain ordinary boundary-layer functions, parabolic boundary-layer functions, and their products, which describe a corner boundary layer. - Keywords: singularly perturbed parabolic problems parabolic boundary layer regularized asymptotics
Asan ÖMÜRALİEV
Article | 2007 | Computational Mathematics and Mathematical Physics47 ( 10 )
A regularized asymptotics of the solution to the time-dependent Schrödinger equation in which the spatial derivative is multiplied by a small Planck constant is constructed. It is shown that the asymptotics of the solution contains a rapidly oscillating boundary layer function. - Keywords: singularly perturbed time-dependent Schrödinger equation regularized asymptotics solutions
