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Найденный: 3 Экземпляр 0.002 sn
Вид публикации : Доклады конференции ... ✕Ученые : Asan ÖMÜRALİEV ✕
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Prof. Dr. Asan ÖMÜRALİEVFen Fakültesi
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Asymptotics of the Solution of Parabolic Problems with Multipoint Stationary Phase

Asan ÖMÜRALİEV | Ella ABILAYEVA

The aim of this paper is to construct regularized asymptotics of the solution of a singularly perturbed parabolic problem when the limit operator has not range and with rapidly oscillating free term, its derivative of the phase vanishes at finite points. The vanishing of the first derivative of the phase of the free term induces transition layers. It is shown that the asymptotic solution of the problem contains parabolic, inner, corner and rapidly oscillating boundary-layer functions. Corner boundary-layer functions have two components: the first component is described by the product of parabo ...Более

Доклады конференции 2017 Fen Fakültesi AIP Conference Proceedings1880 ( 1 ) 78 Просмотры
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Asymptotics of Solution to the Nonstationary Schrodinger Equation

Asan ÖMÜRALİEV | Peyil Esengul Kızı

The Cauchy problem with a rapidly oscillating initial condition for the homogeneous Schrodinger equation was studied in [5]. Continuing the research ideas of this work and [3], in this paper we construct the asymptotic solution to the following mixed problem for the nonstationary Schrodinger equation: L(h)u ih partial derivative(t)u + h(2)partial derivative(2)(x)u - b(x,t)u = f(x,t) (x,t) is an element of Omega = (0,1) x (0,t], u vertical bar(t=0) = g(x), u vertical bar(x=0) = u vertical bar(x=1) = 0 where h > 0 is a Planck constant, u = u(x,t,h). b(x,t), f (x,t) is an element of C-infinity ...Более

Доклады конференции 2019 Fen Fakültesi Filomat33 ( 5 ) 89 Просмотры
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Singularly Perturbed Parabolic Problem with Oscillating Initial Condition

Asan ÖMÜRALİEV | Ella ABILAYEVA

The aim of this paper is to construct regularized asymptotics of the solution of a singularly perturbed parabolic problem with an oscillating initial condition. The presence of a rapidly oscillating function in the initial condition has led to the appearance of a boundary layer function in the solution, which has the rapidly oscillating character of the change. In addition, it is shown that the asymptotics of the solution contains exponential, parabolic boundary layer functions and their products describing the angular boundary layers. Continuing the ideas of works [1, 3] a complete regularize ...Более

Доклады конференции 2019 Fen Fakültesi Filomat33 ( 5 ) 139 Просмотры
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