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Dynamics and spectral stability of soliton-like structures in fluid-filled membrane tubes

Russian mathematical surveys, 2020-10, Vol.75 (5), p.843-882

Il'ichev, A. T.

2020

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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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Superheating of water and morphological instability of the boiling front moving in the low-permeability rock

International journal of heat and mass transfer, 2021-03, Vol.167, p.120820, Article 120820

2021

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Soliton-like structures on a water-ice interface

Russian mathematical surveys, 2015-01, Vol.70 (6), p.1051-1103

Il'ichev, A. T.

2015

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Effective wavelength of envelope waves on the water surface beneath an ice sheet: small amplitudes and moderate depths

Theoretical and mathematical physics, 2021-09, Vol.208 (3), p.1182-1200

Il’ichev, A. T.

2021

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Stability of the Interface in a Porous Medium in the Framework of Darcy’s and Brinkman’s Approximations

Transport in porous media, 2023-06, Vol.148 (2), p.317-333

2023

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Convective Modulation Instability of the Radiation of the Periodic Component in the Case of Resonance of Long and Short Waves

Proceedings of the Steklov Institute of Mathematics, 2023-09, Vol.322 (1), p.118-126

Il’ichev, A. T.

2023

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Instability of supersonic solitary waves in a generalized elastic electrically conductive medium

Continuum mechanics and thermodynamics, 2023-11, Vol.35 (6), p.2313-2323

2023

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Stability of an inflated hyperelastic membrane tube with localized wall thinning

International journal of engineering science, 2014-07, Vol.80, p.53-61

2014

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Physical Parameters of Solitary Wave Packets in Shallow Basins under Ice Cover

Theoretical and mathematical physics, 2019-12, Vol.201 (3), p.1710-1722

Il’ichev, A. T.

2019

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Dynamical stability of running solitary waves in fluid-filled elastic membrane tubes

Journal of physics. Conference series, 2018-09, Vol.1099 (1), p.12018

Il'ichev, A T

2018

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Characterization and dynamical stability of fully nonlinear strain solitary waves in a fluid-filled hyperelastic membrane tube

Acta mechanica, 2020-10, Vol.231 (10), p.4095-4110

2020

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Comparative Analysis of the Darcy and Brinkman Approximations for the Transition to Instability in a Porous Medium

Doklady. a journal of the Russian Academy of Sciences. Physics, 2023, Vol.68 (1), p.9-13

2023

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Stability of an aneurysm in a membrane tube filled with an ideal fluid

Theoretical and mathematical physics, 2022-05, Vol.211 (2), p.642-652

2022

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Evolution of Perturbations of a Free Surface From a Pulsating Underwater Source in a Fluid of Finite Depth

Fluid dynamics, 2021-11, Vol.56 (6), p.780-785

2021

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Motion of particles in the field of nonlinear wave packets in a liquid layer under an ice cover

Theoretical and mathematical physics, 2024-03, Vol.218 (3), p.503-514

2024

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Stability of solitary waves in membrane tubes: A weakly nonlinear analysis

Theoretical and mathematical physics, 2017-11, Vol.193 (2), p.1593-1601

Il’ichev, A. T.

2017

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Solitary wave packets beneath a compressed ice cover

Fluid dynamics, 2016-05, Vol.51 (3), p.327-337

Il’ichev, A. T.

2016

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Stability of shock wave structures in nonlinear elastic media

Mathematics and mechanics of solids, 2019-11, Vol.24 (11), p.3456-3471

2019

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Comparative Analysis of the Occurrence of Water Superheating and Instability of the Boiling Front in a Porous Medium

Doklady. a journal of the Russian Academy of Sciences. Physics, 2020-09, Vol.65 (9), p.333-337

2020

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Localized standing waves in a hyperelastic membrane tube and their stabilization by a mean flow

Mathematics and mechanics of solids, 2015-11, Vol.20 (10), p.1198-1214

2015

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Process of establishing a plane-wave system on ice cover over a dipole moving uniformly in an ideal fluid column

Theoretical and mathematical physics, 2017-12, Vol.193 (3), p.1801-1810

2017

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Critical Evolution of Finite Perturbations of a Water Evaporation Surface in Porous Media

Fluid dynamics, 2020-03, Vol.55 (2), p.204-212

2020

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Morphological instability of an evaporation front moving in a geothermal reservoir

Fluid dynamics, 2016-11, Vol.51 (6), p.776-783

2016

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Neutral stability of compression solitons in the bending of a non-linear elastic rod

Journal of applied mathematics and mechanics, 2008-10, Vol.72 (3), p.323-330

Il’ichev, A.T.

2008

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Dynamics and spectral stability of soliton-like structures in fluid-filled membrane tubes

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

Superheating of water and morphological instability of the boiling front moving in the low-permeability rock

Soliton-like structures on a water-ice interface

Effective wavelength of envelope waves on the water surface beneath an ice sheet: small amplitudes and moderate depths

Stability of the Interface in a Porous Medium in the Framework of Darcy’s and Brinkman’s Approximations

Convective Modulation Instability of the Radiation of the Periodic Component in the Case of Resonance of Long and Short Waves

Instability of supersonic solitary waves in a generalized elastic electrically conductive medium

Stability of an inflated hyperelastic membrane tube with localized wall thinning

Physical Parameters of Solitary Wave Packets in Shallow Basins under Ice Cover

Dynamical stability of running solitary waves in fluid-filled elastic membrane tubes

Characterization and dynamical stability of fully nonlinear strain solitary waves in a fluid-filled hyperelastic membrane tube

Comparative Analysis of the Darcy and Brinkman Approximations for the Transition to Instability in a Porous Medium

Stability of an aneurysm in a membrane tube filled with an ideal fluid

Evolution of Perturbations of a Free Surface From a Pulsating Underwater Source in a Fluid of Finite Depth

Motion of particles in the field of nonlinear wave packets in a liquid layer under an ice cover

Stability of solitary waves in membrane tubes: A weakly nonlinear analysis

Solitary wave packets beneath a compressed ice cover

Stability of shock wave structures in nonlinear elastic media

Comparative Analysis of the Occurrence of Water Superheating and Instability of the Boiling Front in a Porous Medium

Localized standing waves in a hyperelastic membrane tube and their stabilization by a mean flow

Process of establishing a plane-wave system on ice cover over a dipole moving uniformly in an ideal fluid column

Critical Evolution of Finite Perturbations of a Water Evaporation Surface in Porous Media

Morphological instability of an evaporation front moving in a geothermal reservoir

Neutral stability of compression solitons in the bending of a non-linear elastic rod

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