On the stability and the attraction domain of the stationary solution of a singularly perturbed parabolic equation with a multiple root of the degenerate equation

Differential Equations ◽

10.1134/s0012266115120046 ◽

2015 ◽

Vol 51 (12) ◽

pp. 1569-1582 ◽

Author(s):

V. F. Butuzov

Keyword(s):

Parabolic Equation ◽

Stationary Solution ◽

Multiple Root ◽

Singularly Perturbed ◽

Attraction Domain ◽

Degenerate Equation ◽

Singularly Perturbed Parabolic Equation ◽

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On the stability and domain of attraction of asymptotically nonsmooth stationary solutions to a singularly perturbed parabolic equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542506030080 ◽

2006 ◽

Vol 46 (3) ◽

pp. 413-424 ◽

Author(s):

V. F. Butuzov

Keyword(s):

Parabolic Equation ◽

Domain Of Attraction ◽

Stationary Solutions ◽

Singularly Perturbed ◽

Singularly Perturbed Parabolic Equation ◽

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Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542516040060 ◽

2016 ◽

Vol 56 (4) ◽

pp. 593-611 ◽

Author(s):

V. F. Butuzov ◽

A. I. Bychkov

Keyword(s):

Parabolic Equation ◽

Boundary Value Problem ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Singularly Perturbed ◽

Degenerate Equation ◽

Singularly Perturbed Parabolic Equation ◽

Initial Boundary Value

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A Note on the Domain of Attraction for the Stationary Solution to a Singularly Perturbed Parabolic Equation

Modeling and Analysis of Information Systems ◽

10.18255/1818-1015-2017-3-353-358 ◽

2017 ◽

Vol 24 (3) ◽

pp. 353-358

Author(s):

Mikhail A. Terentyev

Keyword(s):

Parabolic Equation ◽

Stationary Solution ◽

Domain Of Attraction ◽

Singularly Perturbed ◽

Singularly Perturbed Parabolic Equation

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Asymptotics of the solution of an initial-boundary value problem for a singularly perturbed parabolic equation in the case of double root of the degenerate equation

Differential Equations ◽

10.1134/s0012266113100078 ◽

2013 ◽

Vol 49 (10) ◽

pp. 1261-1273 ◽

Author(s):

V. F. Butuzov ◽

A. I. Bychkov

Keyword(s):

Parabolic Equation ◽

Boundary Value Problem ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Singularly Perturbed ◽

Degenerate Equation ◽

Double Root ◽

Singularly Perturbed Parabolic Equation ◽

Initial Boundary Value

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On the dependence of the structure of boundary layers on the boundary conditions in a singularly perturbed boundary-value problem with multiple root of the related degenerate equation

Mathematical Notes ◽

10.1134/s0001434616010247 ◽

2016 ◽

Vol 99 (1-2) ◽

pp. 210-221 ◽

Author(s):

V. F. Butuzov

Keyword(s):

Boundary Value Problem ◽

Boundary Conditions ◽

Boundary Layers ◽

Boundary Value ◽

Multiple Root ◽

Singularly Perturbed ◽

Degenerate Equation

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Critical travelling wave solution in one singularly perturbed parabolic equation

Journal of Physics Conference Series ◽

10.1088/1742-6596/1368/4/042060 ◽

2019 ◽

Vol 1368 ◽

pp. 042060

Author(s):

E Shchepakina ◽

V Sobolev ◽

L Zhang

Keyword(s):

Parabolic Equation ◽

Wave Solution ◽

Travelling Wave ◽

Singularly Perturbed ◽

Travelling Wave Solution ◽

Singularly Perturbed Parabolic Equation

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Asymptotic behaviour of the solution to a singularly perturbed partially dissipative system with a multiple root of the degenerate equation

Sbornik Mathematics ◽

10.1070/sm8602 ◽

2016 ◽

Vol 207 (8) ◽

pp. 1100-1126 ◽

Author(s):

V F Butuzov

Keyword(s):

Asymptotic Behaviour ◽

Dissipative System ◽

Multiple Root ◽

Singularly Perturbed ◽

Degenerate Equation

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A difference scheme for a singularly perturbed parabolic equation with discontinuous coefficients and concentrated factors

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(89)90173-0 ◽

1989 ◽

Vol 29 (5) ◽

pp. 9-19 ◽

Author(s):

G.I. Shishkin

Keyword(s):

Parabolic Equation ◽

Difference Scheme ◽

Discontinuous Coefficients ◽

Singularly Perturbed ◽

Singularly Perturbed Parabolic Equation

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The maximal attractor of the semigroup corresponding to the first boundary-value problem for a singularly perturbed parabolic equation

Russian Mathematical Surveys ◽

10.1070/rm1987v042n02abeh001326 ◽

1987 ◽

Vol 42 (2) ◽

pp. 299-300

Author(s):

M Yu Skvortsov

Keyword(s):

Parabolic Equation ◽

Boundary Value Problem ◽

Boundary Value ◽

Singularly Perturbed ◽

Maximal Attractor ◽

Singularly Perturbed Parabolic Equation

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On singularly perturbed systems of ODE with a multiple root of the degenerate equation

Izvestiya Mathematics ◽

10.1070/im8829 ◽

2020 ◽

Vol 84 (2) ◽

pp. 262-290

Author(s):

V. F. Butuzov

Keyword(s):

Multiple Root ◽

Singularly Perturbed ◽

Degenerate Equation ◽

Singularly Perturbed Systems ◽

Perturbed Systems

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