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Riemann problem for longitudinal–torsional waves in nonlinear elastic rods

Zeitschrift für angewandte Mathematik und Physik, 2024-06, Vol.75 (3), Article 106

Chugainova, A. P.

2024

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On the Structure Stability of a Neutrally Stable Shock Wave in a Gas and on Spontaneous Emission of Perturbations

Journal of experimental and theoretical physics, 2020-09, Vol.131 (3), p.481-495

2020

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Structures of longitudinal-torsional shock waves and special discontinuities in nonlinearly viscoelastic media with dispersion

Continuum mechanics and thermodynamics, 2023-07, Vol.35 (4), p.1655-1669

2023

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Special discontinuities in nonlinearly elastic media

Computational mathematics and mathematical physics, 2017-06, Vol.57 (6), p.1013-1021

Chugainova, A. P.

2017

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Longitudinal–Torsional Waves in Nonlinear Elastic Rods

Proceedings of the Steklov Institute of Mathematics, 2023-09, Vol.322 (1), p.151-160

2023

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Nonuniqueness of a Self-similar Solution to the Riemann Problem for Elastic Waves in Media with a Negative Nonlinearity Parameter

Proceedings of the Steklov Institute of Mathematics, 2023-09, Vol.322 (1), p.242-256

2023

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Longitudinal and torsional shock waves in anisotropic elastic cylinders

Zeitschrift für angewandte Mathematik und Physik, 2020-01, Vol.71 (1), Article 17

2020

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Traveling waves and undercompressive shocks in solutions of the generalized Korteweg–de Vries–Burgers equation with a time-dependent dissipation coefficient distribution

European physical journal plus, 2020-08, Vol.135 (8), p.635, Article 635

2020

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Structures of Classical and Special Discontinuities for the Generalized Korteweg–de Vries–Burgers Equation in the Case of a Flux Function with Four Inflection Points

Proceedings of the Steklov Institute of Mathematics, 2023-09, Vol.322 (1), p.257-272

2023

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On the Instability of Monotone Traveling-Wave Solutions for a Generalized Korteweg–de Vries–Burgers Equation

Russian journal of mathematical physics, 2022-09, Vol.29 (3), p.342-357

2022

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Discontinuity Structures of Solutions to Equations Describing Longitudinal–Torsional Waves in Elastic Rods

Doklady. a journal of the Russian Academy of Sciences. Physics, 2021-04, Vol.66 (4), p.110-113

2021

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Analytical description of the structure of special discontinuities described by a generalized KdV–Burgers equation

Communications in nonlinear science & numerical simulation, 2019-01, Vol.66, p.129-146

2019

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Analytical and numerical solutions of the shock tube problem in a channel with a pseudo-perforated wall

Journal of physics. Conference series, 2018-09, Vol.1099 (1), p.12013

2018

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Long nonlinear waves in anisotropic cylinders

Computational mathematics and mathematical physics, 2017-07, Vol.57 (7), p.1194-1200

2017

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Stability of nonstationary solutions of the generalized KdV-Burgers equation

Computational mathematics and mathematical physics, 2015-02, Vol.55 (2), p.251-263

2015

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Shock Waves in Anisotropic Cylinders

Proceedings of the Steklov Institute of Mathematics, 2018, Vol.300 (1), p.100-113

2018

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Study of discontinuities in solutions of the Prandtl–Reuss elastoplasticity equations

Computational mathematics and mathematical physics, 2016-04, Vol.56 (4), p.637-649

2016

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Spectral stability theory of heteroclinic solutions to the Korteweg-de Vries-Burgers equation with an arbitrary potential

Proceedings of the Steklov Institute of Mathematics, 2016-11, Vol.295 (1), p.148-157

2016

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Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity

Computational mathematics and mathematical physics, 2016-07, Vol.56 (7), p.1355-1362

2016

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Spontaneously Radiating Shock Waves

Doklady. a journal of the Russian Academy of Sciences. Physics, 2019-07, Vol.64 (7), p.293-296

2019

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A self-similar wave problem in a Prandtl-Reuss elastoplastic medium

Proceedings of the Steklov Institute of Mathematics, 2016-11, Vol.295 (1), p.179-189

2016

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Self-similar asymptotics of wave problems and the structures of non-classical discontinuities in non-linearly elastic media with dispersion and dissipation

Journal of applied mathematics and mechanics, 2007, Vol.71 (5), p.701-711

Chugainova, A.P.

2007

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Flow Structure behind a Shock Wave in a Channel with Periodically Arranged Obstacles

Proceedings of the Steklov Institute of Mathematics, 2018, Vol.300 (1), p.206-218

2018

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Stability analysis of traveling wave solutions of a generalized Korteweg–de Vries–Burgers equation with variable dissipation parameter

Journal of computational and applied mathematics, 2021-12, Vol.397, p.113654, Article 113654

2021

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Conditions for the decay of a wave into a system of waves in a viscoelastic medium with a negative nonlinearity parameter

International journal of non-linear mechanics, 2024-01, Vol.158, p.104590, Article 104590

2024

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Riemann problem for longitudinal–torsional waves in nonlinear elastic rods

On the Structure Stability of a Neutrally Stable Shock Wave in a Gas and on Spontaneous Emission of Perturbations

Structures of longitudinal-torsional shock waves and special discontinuities in nonlinearly viscoelastic media with dispersion

Special discontinuities in nonlinearly elastic media

Longitudinal–Torsional Waves in Nonlinear Elastic Rods

Nonuniqueness of a Self-similar Solution to the Riemann Problem for Elastic Waves in Media with a Negative Nonlinearity Parameter

Longitudinal and torsional shock waves in anisotropic elastic cylinders

Traveling waves and undercompressive shocks in solutions of the generalized Korteweg–de Vries–Burgers equation with a time-dependent dissipation coefficient distribution

Structures of Classical and Special Discontinuities for the Generalized Korteweg–de Vries–Burgers Equation in the Case of a Flux Function with Four Inflection Points

On the Instability of Monotone Traveling-Wave Solutions for a Generalized Korteweg–de Vries–Burgers Equation

Discontinuity Structures of Solutions to Equations Describing Longitudinal–Torsional Waves in Elastic Rods

Analytical description of the structure of special discontinuities described by a generalized KdV–Burgers equation

Analytical and numerical solutions of the shock tube problem in a channel with a pseudo-perforated wall

Long nonlinear waves in anisotropic cylinders

Stability of nonstationary solutions of the generalized KdV-Burgers equation

Shock Waves in Anisotropic Cylinders

Study of discontinuities in solutions of the Prandtl–Reuss elastoplasticity equations

Spectral stability theory of heteroclinic solutions to the Korteweg-de Vries-Burgers equation with an arbitrary potential

Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity

Spontaneously Radiating Shock Waves

A self-similar wave problem in a Prandtl-Reuss elastoplastic medium

Self-similar asymptotics of wave problems and the structures of non-classical discontinuities in non-linearly elastic media with dispersion and dissipation

Flow Structure behind a Shock Wave in a Channel with Periodically Arranged Obstacles

Stability analysis of traveling wave solutions of a generalized Korteweg–de Vries–Burgers equation with variable dissipation parameter

Conditions for the decay of a wave into a system of waves in a viscoelastic medium with a negative nonlinearity parameter

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