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Development of Methods of Asymptotic Analysis of Transition Layers in Reaction–Diffusion–Advection Equations: Theory and Applications

Computational mathematics and mathematical physics, 2021-12, Vol.61 (12), p.2068-2087

Nefedov, N. N.

2021

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Existence, Asymptotics, and Lyapunov Stability of Solutions of Periodic Parabolic Problems for Tikhonov-Type Reaction–Diffusion Systems

Mathematical Notes, 2024-02, Vol.115 (1-2), p.232-239

Nefedov, N. N.

2024

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Periodic Contrast Structures in the Reaction-Diffusion Problem with Fast Response and Weak Diffusion

Mathematical Notes, 2022-10, Vol.112 (3-4), p.588-597

Nefedov, N. N.

2022

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Existence and Stability of Solutions with Internal Transition Layer for the Reaction–Diffusion–Advection Equation with a KPZ-Nonlinearity

Differential equations, 2023-08, Vol.59 (8), p.1009-1024

2023

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Existence and stability of stationary solutions with boundary layers in a system of fast and slow reaction–diffusion–advection equations with KPZ nonlinearities

Theoretical and mathematical physics, 2024-07, Vol.220 (1), p.1178-1192

2024

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On unstable contrast structures in one-dimensional reaction–diffusion–advection problems with discontinuous sources

Theoretical and mathematical physics, 2023-05, Vol.215 (2), p.716-728

2023

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Existence and stability of a stable stationary solution with a boundary layer for a system of reaction–diffusion equations with Neumann boundary conditions

Theoretical and mathematical physics, 2022-07, Vol.212 (1), p.962-971

2022

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Existence and Asymptotic Stability of Solutions for Periodic Parabolic Problems in Tikhonov-Type Reaction–Diffusion–Advection Systems with KPZ Nonlinearities

Russian journal of mathematical physics, 2024-09, Vol.31 (3), p.504-516

2024

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Asymptotic Solution of the Boundary Control Problem for a Burgers-Type Equation with Modular Advection and Linear Gain

Computational mathematics and mathematical physics, 2022-11, Vol.62 (11), p.1849-1858

2022

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Electronic Beam Control and Frequency Scanning of a Graphene Antenna Array in the Terahertz and Far-IR Frequency Ranges

Technical physics letters, 2023-05, Vol.49 (5), p.37-42

2023

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Boundary control of fronts in a Burgers-type equation with modular adhesion and periodic amplification

Theoretical and mathematical physics, 2022-08, Vol.212 (2), p.1044-1052

2022

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Existence and Stability of a Stationary Solution in a Two-Dimensional Reaction-Diffusion System with Slow and Fast Components

Moscow University physics bulletin, 2024, Vol.79 (3), p.301-307

2024

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Boundary-Value Problem for Singularly Perturbed Integro-Differential Equation with Singularly Perturbed Neumann Boundary Condition

Russian journal of mathematical physics, 2023-09, Vol.30 (3), p.375-381

2023

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Internal layers in the one-dimensional reaction–diffusion equation with a discontinuous reactive term

Computational mathematics and mathematical physics, 2015-12, Vol.55 (12), p.2001-2007

2015

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The results of long-term simultaneous measurements of radon exhalation rate, radon concentrations in soil gas and groundwater in the fault zone

Applied radiation and isotopes, 2021-01, Vol.167, p.109460-109460, Article 109460

2021

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Contrast Structures in the Reaction-Diffusion-Advection Problem in the Case of a Weak Reaction Discontinuity

Russian journal of mathematical physics, 2022-03, Vol.29 (1), p.81-90

2022

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Solution with an inner transition layer of a two-dimensional boundary value reaction–diffusion–advection problem with discontinuous reaction and advection terms

Theoretical and mathematical physics, 2021-05, Vol.207 (2), p.655-669

2021

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Front Motion in a Problem with Weak Advection in the Case of a Continuous Source and a Modular-Type Source

Differential equations, 2022-06, Vol.58 (6), p.757-770

2022

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Asymptotically Stable Stationary Solutions of the Reaction–Diffusion–Advection Equation with Discontinuous Reaction and Advection Terms

Differential equations, 2020-05, Vol.56 (5), p.605-620

2020

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Asymptotic Solution of Coefficient Inverse Problems for Burgers-Type Equations

Computational mathematics and mathematical physics, 2020-06, Vol.60 (6), p.950-959

2020

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Asymptotic Stability of a Stationary Solution of a Multidimensional Reaction–Diffusion Equation with a Discontinuous Source

Computational mathematics and mathematical physics, 2019-04, Vol.59 (4), p.573-582

2019

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On Unstable Solutions with a Nonmonotone Boundary Layer in a Two-Dimensional Reaction-Diffusion Problem

Mathematical Notes, 2021-11, Vol.110 (5-6), p.922-931

2021

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Measurement of the Temperature of Dielectric Rods in Heat Treatment in Microwave Devices with Longitudinal Interaction

Measurement techniques, 2019-08, Vol.62 (5), p.449-454

Nefedov, V. N.

2019

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On a Periodic Inner Layer in the Reaction–Diffusion Problem with a Modular Cubic Source

Computational mathematics and mathematical physics, 2020-09, Vol.60 (9), p.1461-1479

2020

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On Front Motion in a Burgers-Type Equation with Quadratic and Modular Nonlinearity and Nonlinear Amplification

Doklady. Mathematics, 2018, Vol.97 (1), p.99-103

2018

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Development of Methods of Asymptotic Analysis of Transition Layers in Reaction–Diffusion–Advection Equations: Theory and Applications

Existence, Asymptotics, and Lyapunov Stability of Solutions of Periodic Parabolic Problems for Tikhonov-Type Reaction–Diffusion Systems

Periodic Contrast Structures in the Reaction-Diffusion Problem with Fast Response and Weak Diffusion

Existence and Stability of Solutions with Internal Transition Layer for the Reaction–Diffusion–Advection Equation with a KPZ-Nonlinearity

Existence and stability of stationary solutions with boundary layers in a system of fast and slow reaction–diffusion–advection equations with KPZ nonlinearities

On unstable contrast structures in one-dimensional reaction–diffusion–advection problems with discontinuous sources

Existence and stability of a stable stationary solution with a boundary layer for a system of reaction–diffusion equations with Neumann boundary conditions

Existence and Asymptotic Stability of Solutions for Periodic Parabolic Problems in Tikhonov-Type Reaction–Diffusion–Advection Systems with KPZ Nonlinearities

Asymptotic Solution of the Boundary Control Problem for a Burgers-Type Equation with Modular Advection and Linear Gain

Electronic Beam Control and Frequency Scanning of a Graphene Antenna Array in the Terahertz and Far-IR Frequency Ranges

Boundary control of fronts in a Burgers-type equation with modular adhesion and periodic amplification

Existence and Stability of a Stationary Solution in a Two-Dimensional Reaction-Diffusion System with Slow and Fast Components

Boundary-Value Problem for Singularly Perturbed Integro-Differential Equation with Singularly Perturbed Neumann Boundary Condition

Internal layers in the one-dimensional reaction–diffusion equation with a discontinuous reactive term

The results of long-term simultaneous measurements of radon exhalation rate, radon concentrations in soil gas and groundwater in the fault zone

Contrast Structures in the Reaction-Diffusion-Advection Problem in the Case of a Weak Reaction Discontinuity

Solution with an inner transition layer of a two-dimensional boundary value reaction–diffusion–advection problem with discontinuous reaction and advection terms

Front Motion in a Problem with Weak Advection in the Case of a Continuous Source and a Modular-Type Source

Asymptotically Stable Stationary Solutions of the Reaction–Diffusion–Advection Equation with Discontinuous Reaction and Advection Terms

Asymptotic Solution of Coefficient Inverse Problems for Burgers-Type Equations

Asymptotic Stability of a Stationary Solution of a Multidimensional Reaction–Diffusion Equation with a Discontinuous Source

On Unstable Solutions with a Nonmonotone Boundary Layer in a Two-Dimensional Reaction-Diffusion Problem

Measurement of the Temperature of Dielectric Rods in Heat Treatment in Microwave Devices with Longitudinal Interaction

On a Periodic Inner Layer in the Reaction–Diffusion Problem with a Modular Cubic Source

On Front Motion in a Burgers-Type Equation with Quadratic and Modular Nonlinearity and Nonlinear Amplification

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