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Источник : Differential Equatio ... ✕Ученые : Asan ÖMÜRALİEV ✕

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Prof. Dr. Asan ÖMÜRALİEVFen Fakültesi

Singularly Perturbed Parabolic Problems with Multidimensional Boundary Layers

Asan ÖMÜRALİEV | Meerim İmaş Kızı

The first boundary value problem for a multidimensional parabolic differential equation with a small parameter ε multiplying all derivatives is studied. A complete (i.e., of any order with respect to the parameter) regularized asymptotics of the solution is constructed, which contains a multidimensional boundary layer function that is bounded for x = (x 1, x 2) = 0 and tends to zero as ε → +0 for x ≠ 0. In addition, it contains corner boundary layer functions described by the product of a boundary layer function of the exponential type by a multidimensional parabolic boundary layer function

Статья 2017 Fen Fakültesi Differential Equations53 ( 12 ) 66 Просмотры

Asymptotics of the Solution of a Parabolic Linear System with a Small Parameter

Asan ÖMÜRALİEV

The first boundary value problem is studied for an n-dimensional parabolic linear system of differential equations with a small parameter multiplying the spatial derivative. A complete regularized asymptotics of the solution is constructed for the case in which the system is uniformly Petrovskii parabolic. The asymptotics contains 2n parabolic boundary layer functions described by the complementary error function.

Статья 2019 Fen Fakültesi Differential Equations55 ( 6 ) 75 Просмотры

Parabolic Problem with a Power-Law Boundary Layer

Asan ÖMÜRALİEV | Ella ABILAYEVA | Peyil Esengul Kızı

We construct a regularized asymptotics of the solution of the first boundary value problem for a singularly perturbed two-dimensional differential equation of the parabolic type for the case in which the limit equation has a regular singularity. There arise power-law and corner boundary layers along with parabolic ones in such problems.

Статья 2021 Fen Fakültesi Differential Equations57 ( 1 ) 67 Просмотры

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