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Il’ichev, Andreĭ Teĭmurazovich

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Author ID: ilichev.andrej-t Recent zbMATH articles by "Il’ichev, Andreĭ Teĭmurazovich"
Published as: Il’ichev, A. T.; Il’ichev, Andrej; Il’ichev, Andrej T.; Il’ichev, A.; Il’ichev, Andrey T.; Il’íchev, A. T.; Ilichev, A. T.
Homepage: http://www.mi-ras.ru/~ilichev/
External Links: Math-Net.Ru · GND
Documents Indexed: 81 Publications since 1987
Co-Authors: 21 Co-Authors with 50 Joint Publications
616 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 287 times in 157 Documents Cited by Year
Stability of solitary waves in dispersive media described by a fifth- order evolution equation. Zbl 0755.76022
Il’ichev, A. T.; Semenov, A. Yu.
25
1992
Three-dimensional solitary waves in the presence of additional surface effects. Zbl 0933.76012
Hărăguş-Courcelle, Mariana; Il’ichev, Andrej
17
1998
Solitary waves in fluid-filled elastic tubes: existence, persistence, and the role of axial displacement. Zbl 1189.35386
Fu, Y. B.; Il’ichev, A. T.
16
2010
Catastrophic transition to instability of evaporation front in a porous medium. Zbl 1151.76480
Il’ichev, A. T.; Tsypkin, G. G.
15
2008
Stability of aneurysm solutions in a fluid-filled elastic membrane tube. Zbl 1293.74310
Il’ichev, A. T.; Fu, Y.-B.
13
2012
Soliton-like structures on a water-ice interface. Zbl 1353.35228
Il’ichev, A. T.
10
2015
Localized standing waves in a hyperelastic membrane tube and their stabilization by a mean flow. Zbl 1338.74086
Fu, Y. B.; Il’ichev, A. T.
10
2015
Stability of an inflated hyperelastic membrane tube with localized wall thinning. Zbl 1423.74526
Il’ichev, A. T.; Fu, Y. B.
10
2014
Spectral stability of special discontinuities. Zbl 1326.35316
Il’ichev, A. T.; Chugainova, A. P.; Shargatov, V. A.
9
2015
Radiation and modulational instability described by the fifth-order Korteweg-de Vries equation. Zbl 0861.76011
Bakholdin, Igor; Il’ichev, Andrej
9
1996
Solitary waves in media with dispersion and dissipation. (A review). Zbl 0995.76013
Il’ichev, A. T.
9
2000
Instability of the salinity profile during the evaporation of saline groundwater. Zbl 1155.76026
Il’ichev, Andrej T.; Tsypkin, George G.; Pritchard, David; Richardson, Chris N.
8
2008
Interfacial waves with free-surface boundary conditions: An approach via a model equation. Zbl 1037.76010
Dias, Frédéric; Il’ichev, A.
8
2001
Problem of arbitrary discontinuity disintegration for the generalized Hopf equation: selection conditions for a unique solution. Zbl 1404.35082
Chugainova, Anna P.; Il’ichev, Andrey T.; Kulikovskii, Andrey G.; Shargatov, Vladimir A.
8
2017
Dynamics of water evaporation fronts. Zbl 1299.76075
Il’ichev, A. T.; Shargatov, V. A.
7
2013
Conditional stability of solitary waves propagating in elastic rods. Zbl 0899.73282
Beliaev, Alexei; Il’ichev, Andrej
7
1996
Envelope solitary waves and dark solitons at a water-ice interface. Zbl 1342.35233
Il’ichev, A. T.
6
2015
Transition to instability of the interface in geothermal systems. Zbl 1065.76091
Il’ichev, A. T.; Tsypkin, G. G.
6
2005
Stability of solitary waves in nonlinear composite media. Zbl 1013.74044
Il’ichev, A.
6
2001
Propagation of long nonlinear waves in a ponderable fluid beneath an ice sheet. Zbl 0692.76006
Il’ichev, A. T.; Marchenko, A. V.
6
1989
Process of establishing a plane-wave system on ice cover over a dipole moving uniformly in an ideal fluid column. Zbl 1391.76070
Il’ichev, A. T.; Savin, A. S.
6
2017
On the process of establishment of surface waves in plane flow. Zbl 1184.76627
Il’ichev, A. T.; Savin, A. S.
5
2004
Criteria of hydrodynamic instability of a phase interface in hydrothermal systems. Zbl 1184.76671
Il’ichev, A. T.; Tsypkin, G. G.
5
2004
Solitary wave packets beneath a compressed ice cover. Zbl 1347.76012
Il’ichev, A. T.
5
2016
Spectral stability theory of heteroclinic solutions to the Korteweg-de Vries-Burgers equation with an arbitrary potential. Zbl 1368.35235
Il’ichev, A. T.; Chugainova, A. P.
5
2016
Instability of solitary waves on Euler’s elastica. Zbl 1112.74026
Il’ichev, Andrej T.
5
2006
Faraday resonance: asymptotic theory of surface waves. Zbl 1194.76027
Il’ichev, Andrej
3
1998
Self-channelling of surface water waves in the presence of an additional surface pressure. Zbl 0942.76020
Il’ichev, A.
3
1999
Exponential neutral stability of a floating ice layer. Zbl 0909.73022
Brevdo, Leonid; Il’ichev, Andrej
3
1998
Soliton-like structures on a liquid surface under an ice cover. Zbl 1317.76024
Il’ichev, A. T.; Tomashpolskii, V. Ya.
3
2015
Weakly linear theory for the instability of long-wave perturbations. Zbl 1423.76134
Il’ichev, A. T.; Tsypkin, G. G.
3
2007
Stability of solitary waves in membrane tubes: a weakly nonlinear analysis. Zbl 1387.76014
Il’ichev, A. T.
3
2017
Characteristic parameters of nonlinear surface envelope waves beneath an ice cover under pre-stress. Zbl 07215415
Il’ichev, Andrej T.; Tomashpolskii, Viktor Ja.
3
2019
Instability and collapse of waveguides on the water surface under the ice cover. Zbl 1119.76333
Bakholdin, I.; Il’ichev, A.
2
2003
Rayleigh-Taylor instability of an interface in a nonwettable porous medium. Zbl 1200.76076
Il’ichev, A. T.; Tsypkin, G. G.
2
2007
Gravitational stability of a moving water-steam interface in hydrothermal systems. Zbl 1161.76350
Il’ichev, A. T.; Tsypkin, G. G.
2
2002
Solitary wave instability in a cold plasma. Zbl 0944.76021
Bakholdin, Igor’; Il’ichev, Andrej
2
1998
Uni-modal destabilization of a viscoelastic floating ice layer by wind stress. Zbl 1103.74025
Brevdo, Leonid; Il’ichev, Andrej
2
2006
Stability, instability and interaction of solitary pulses in a composite medium. Zbl 1062.74026
Bakholdin, I.; Il’ichev, A.; Tomashpol’skiĭ, V.
2
2002
Absolute instability of a thin viscoelastic plate in an air flow. Zbl 1064.74096
Brevdo, Leonid; Il’ichev, Andrej
2
2004
Evolution of a long-wave train in loss of stability of a phase interface in geothermal systems. Zbl 1210.76078
Il’ichev, A. T.; Odintsova, V. E.
2
2008
Physical parameters of solitary wave packets in shallow basins under ice cover. Zbl 1457.76048
Il’ichev, A. T.
2
2019
Stability of shock wave structures in nonlinear elastic media. Zbl 07273377
Chugainova, A. P.; Il’ichev, A. T.; Shargatov, V. A.
2
2019
Dynamics of front-like water evaporation phase transition interfaces. Zbl 07263881
Shargatov, V. A.; Gorkunov, S. V.; Il’ichev, A. T.
2
2019
Characterization and dynamical stability of fully nonlinear strain solitary waves in a fluid-filled hyperelastic membrane tube. Zbl 1451.74145
Il’íchev, A. T.; Shargatov, V. A.; Fu, Y. B.
2
2020
Instability of solitary waves in nonlinear composite media. Zbl 1036.74029
Bakholdin, I. B.; Il’ichev, A. T.
1
2001
Morphological instability of an evaporation front moving in a geothermal reservoir. Zbl 1357.76022
Il’ichev, A. T.; Tsypkin, G. G.
1
2016
Solitary wave decay in non-linear Faraday resonance. Zbl 0935.76030
Bakholdin, I.; Il’ichev, A.
1
1999
Solitary wave trains in a cold plasma. Zbl 0923.76356
Il’ichev, A. T.
1
1996
Rigid transition to the Rayleigh-Taylor instability of interface in a porous medium. Zbl 1257.76140
Tsypkin, G. G.; Il’ichev, A. T.
1
2006
Instability of solitons under flexure and twist of an elastic rod. Zbl 1357.74025
Il’ichev, A. T.; Tomashpolskii, V. Ja.
1
2012
Characterization and dynamical stability of fully nonlinear strain solitary waves in a fluid-filled hyperelastic membrane tube. Zbl 1451.74145
Il’íchev, A. T.; Shargatov, V. A.; Fu, Y. B.
2
2020
Characteristic parameters of nonlinear surface envelope waves beneath an ice cover under pre-stress. Zbl 07215415
Il’ichev, Andrej T.; Tomashpolskii, Viktor Ja.
3
2019
Physical parameters of solitary wave packets in shallow basins under ice cover. Zbl 1457.76048
Il’ichev, A. T.
2
2019
Stability of shock wave structures in nonlinear elastic media. Zbl 07273377
Chugainova, A. P.; Il’ichev, A. T.; Shargatov, V. A.
2
2019
Dynamics of front-like water evaporation phase transition interfaces. Zbl 07263881
Shargatov, V. A.; Gorkunov, S. V.; Il’ichev, A. T.
2
2019
Problem of arbitrary discontinuity disintegration for the generalized Hopf equation: selection conditions for a unique solution. Zbl 1404.35082
Chugainova, Anna P.; Il’ichev, Andrey T.; Kulikovskii, Andrey G.; Shargatov, Vladimir A.
8
2017
Process of establishing a plane-wave system on ice cover over a dipole moving uniformly in an ideal fluid column. Zbl 1391.76070
Il’ichev, A. T.; Savin, A. S.
6
2017
Stability of solitary waves in membrane tubes: a weakly nonlinear analysis. Zbl 1387.76014
Il’ichev, A. T.
3
2017
Solitary wave packets beneath a compressed ice cover. Zbl 1347.76012
Il’ichev, A. T.
5
2016
Spectral stability theory of heteroclinic solutions to the Korteweg-de Vries-Burgers equation with an arbitrary potential. Zbl 1368.35235
Il’ichev, A. T.; Chugainova, A. P.
5
2016
Morphological instability of an evaporation front moving in a geothermal reservoir. Zbl 1357.76022
Il’ichev, A. T.; Tsypkin, G. G.
1
2016
Soliton-like structures on a water-ice interface. Zbl 1353.35228
Il’ichev, A. T.
10
2015
Localized standing waves in a hyperelastic membrane tube and their stabilization by a mean flow. Zbl 1338.74086
Fu, Y. B.; Il’ichev, A. T.
10
2015
Spectral stability of special discontinuities. Zbl 1326.35316
Il’ichev, A. T.; Chugainova, A. P.; Shargatov, V. A.
9
2015
Envelope solitary waves and dark solitons at a water-ice interface. Zbl 1342.35233
Il’ichev, A. T.
6
2015
Soliton-like structures on a liquid surface under an ice cover. Zbl 1317.76024
Il’ichev, A. T.; Tomashpolskii, V. Ya.
3
2015
Stability of an inflated hyperelastic membrane tube with localized wall thinning. Zbl 1423.74526
Il’ichev, A. T.; Fu, Y. B.
10
2014
Dynamics of water evaporation fronts. Zbl 1299.76075
Il’ichev, A. T.; Shargatov, V. A.
7
2013
Stability of aneurysm solutions in a fluid-filled elastic membrane tube. Zbl 1293.74310
Il’ichev, A. T.; Fu, Y.-B.
13
2012
Instability of solitons under flexure and twist of an elastic rod. Zbl 1357.74025
Il’ichev, A. T.; Tomashpolskii, V. Ja.
1
2012
Solitary waves in fluid-filled elastic tubes: existence, persistence, and the role of axial displacement. Zbl 1189.35386
Fu, Y. B.; Il’ichev, A. T.
16
2010
Catastrophic transition to instability of evaporation front in a porous medium. Zbl 1151.76480
Il’ichev, A. T.; Tsypkin, G. G.
15
2008
Instability of the salinity profile during the evaporation of saline groundwater. Zbl 1155.76026
Il’ichev, Andrej T.; Tsypkin, George G.; Pritchard, David; Richardson, Chris N.
8
2008
Evolution of a long-wave train in loss of stability of a phase interface in geothermal systems. Zbl 1210.76078
Il’ichev, A. T.; Odintsova, V. E.
2
2008
Weakly linear theory for the instability of long-wave perturbations. Zbl 1423.76134
Il’ichev, A. T.; Tsypkin, G. G.
3
2007
Rayleigh-Taylor instability of an interface in a nonwettable porous medium. Zbl 1200.76076
Il’ichev, A. T.; Tsypkin, G. G.
2
2007
Instability of solitary waves on Euler’s elastica. Zbl 1112.74026
Il’ichev, Andrej T.
5
2006
Uni-modal destabilization of a viscoelastic floating ice layer by wind stress. Zbl 1103.74025
Brevdo, Leonid; Il’ichev, Andrej
2
2006
Rigid transition to the Rayleigh-Taylor instability of interface in a porous medium. Zbl 1257.76140
Tsypkin, G. G.; Il’ichev, A. T.
1
2006
Transition to instability of the interface in geothermal systems. Zbl 1065.76091
Il’ichev, A. T.; Tsypkin, G. G.
6
2005
On the process of establishment of surface waves in plane flow. Zbl 1184.76627
Il’ichev, A. T.; Savin, A. S.
5
2004
Criteria of hydrodynamic instability of a phase interface in hydrothermal systems. Zbl 1184.76671
Il’ichev, A. T.; Tsypkin, G. G.
5
2004
Absolute instability of a thin viscoelastic plate in an air flow. Zbl 1064.74096
Brevdo, Leonid; Il’ichev, Andrej
2
2004
Instability and collapse of waveguides on the water surface under the ice cover. Zbl 1119.76333
Bakholdin, I.; Il’ichev, A.
2
2003
Gravitational stability of a moving water-steam interface in hydrothermal systems. Zbl 1161.76350
Il’ichev, A. T.; Tsypkin, G. G.
2
2002
Stability, instability and interaction of solitary pulses in a composite medium. Zbl 1062.74026
Bakholdin, I.; Il’ichev, A.; Tomashpol’skiĭ, V.
2
2002
Interfacial waves with free-surface boundary conditions: An approach via a model equation. Zbl 1037.76010
Dias, Frédéric; Il’ichev, A.
8
2001
Stability of solitary waves in nonlinear composite media. Zbl 1013.74044
Il’ichev, A.
6
2001
Instability of solitary waves in nonlinear composite media. Zbl 1036.74029
Bakholdin, I. B.; Il’ichev, A. T.
1
2001
Solitary waves in media with dispersion and dissipation. (A review). Zbl 0995.76013
Il’ichev, A. T.
9
2000
Self-channelling of surface water waves in the presence of an additional surface pressure. Zbl 0942.76020
Il’ichev, A.
3
1999
Solitary wave decay in non-linear Faraday resonance. Zbl 0935.76030
Bakholdin, I.; Il’ichev, A.
1
1999
Three-dimensional solitary waves in the presence of additional surface effects. Zbl 0933.76012
Hărăguş-Courcelle, Mariana; Il’ichev, Andrej
17
1998
Faraday resonance: asymptotic theory of surface waves. Zbl 1194.76027
Il’ichev, Andrej
3
1998
Exponential neutral stability of a floating ice layer. Zbl 0909.73022
Brevdo, Leonid; Il’ichev, Andrej
3
1998
Solitary wave instability in a cold plasma. Zbl 0944.76021
Bakholdin, Igor’; Il’ichev, Andrej
2
1998
Radiation and modulational instability described by the fifth-order Korteweg-de Vries equation. Zbl 0861.76011
Bakholdin, Igor; Il’ichev, Andrej
9
1996
Conditional stability of solitary waves propagating in elastic rods. Zbl 0899.73282
Beliaev, Alexei; Il’ichev, Andrej
7
1996
Solitary wave trains in a cold plasma. Zbl 0923.76356
Il’ichev, A. T.
1
1996
Stability of solitary waves in dispersive media described by a fifth- order evolution equation. Zbl 0755.76022
Il’ichev, A. T.; Semenov, A. Yu.
25
1992
Propagation of long nonlinear waves in a ponderable fluid beneath an ice sheet. Zbl 0692.76006
Il’ichev, A. T.; Marchenko, A. V.
6
1989
all top 5

Cited by 144 Authors

43 Il’ichev, Andreĭ Teĭmurazovich
17 Shargatov, Vladimir Anatol’evich
14 Tsypkin, Georgiĭ Gennad’evich
13 Bakholdin, Igor B.
12 Chugaĭnova, Anna Pavlova
5 Savin, A. S.
4 Cui, Shangbin
4 Ghayesh, Mergen H.
4 Gholipour, Alireza
4 Kulikovskiĭ, Andreĭ Gennad’evich
4 Naumkin, Pavel Ivanovich
4 Părău, Emilian I.
4 Zander, Anthony C.
3 Fu, Yibin
3 Gorkunov, Sergey V.
3 Odintsova, V. E.
3 Tao, Shuangping
3 Vanden-Broeck, Jean-Marc
2 Afanas’ev, Andreĭ Aleksandrovich
2 Batyaev, E. A.
2 Brevdo, Leonid
2 Bridges, Thomas J.
2 Chen, Robin Ming
2 Deng, Donggao
2 Dias, Frédéric
2 Fochesato, Christophe
2 Gao, Yitian
2 Grimshaw, Roger Hamilton James
2 Khabakhpasheva, Tatyana I.
2 Kolomiytsev, G. V.
2 Milewski, Paul A.
2 Pérez, Jhon Jairo
2 Psaltis, Peter J.
2 Ratliff, Daniel J.
2 Savin, Alexander A.
2 Soboleva, E. B.
2 Sumskoi, S. I.
2 Tkacheva, L. A.
2 Tomashpol’skiǐ, V. Ya.
2 Trichtchenko, Olga
2 Walsh, Samuel
2 Wang, Zhan
1 Adem, Abdullahi Rashid
1 Alam, Mohammad-Reza
1 Alibeigloo, Akbar
1 Althobaiti, Ali
1 Arkhipov, D. G.
1 Barashenkov, Igor V.
1 Barmin, Alexei Alekseevich
1 Barros, Ricardo
1 Beauregard, Matthew A.
1 Belyaev, Alexeĭ Yu.
1 Carpenter, Harry J.
1 Champneys, Alan R.
1 Chefranov, Sergei G.
1 Choi, Wooyoung
1 Chugunova, M. V.
1 Ciallella, Alessandro
1 Cristófani, Fabrício
1 Cui, Denglan
1 Dawson, Liana L.
1 de Andrade, Thiago Pinguello
1 de Moura, Roger P.
1 Defaz, R. Ivan
1 dell’Isola, Francesco
1 Deng, Gao-Fu
1 Derks, Gianne
1 Dichmann, Donald J.
1 Donaldson, Neil M.
1 E. I. Părău, Emilian
1 Ejaz, Kanwal
1 Epstein, Marcelo
1 Eugster, Simon R.
1 Fachini, Fernando F.
1 Federico, Salvatore
1 Francisco, G. S.
1 Giorgio, Ivan
1 Goriely, Alain
1 Gottwald, Georg A.
1 Groves, Mark D.
1 Gubin, Sergey A.
1 Guyenne, Philippe
1 Hărăguş-Courcelle, Mariana
1 Hoefer, Mark A.
1 Hu, Lei
1 Jia, Tingting
1 Juárez-Campos, Beatriz
1 Kaikina, Elena Igorevna
1 Khabakhpashev, G. A.
1 Khalique, Chaudry Masood
1 Khusnutdinova, Karima Robertovna
1 Kokubun, Max A. E.
1 Korenkov, A. N.
1 Krivosheev, V. A.
1 Li, Yangcheng
1 Lippoth, Friedrich-Matthias
1 Liu, Xiaohua
1 Liu, Yang
1 Maddocks, John H.
1 Mahajan, Rajiv
...and 44 more Authors
all top 5

Cited in 54 Serials

30 Fluid Dynamics
10 Proceedings of the Steklov Institute of Mathematics
7 Theoretical and Mathematical Physics
7 Physica D
6 International Journal of Engineering Science
6 Prikladnaya Matematika i Mekhanika
6 European Journal of Mechanics. B. Fluids
5 Computational Mathematics and Mathematical Physics
5 Mathematics and Mechanics of Solids
4 Journal of Fluid Mechanics
4 Wave Motion
4 European Journal of Mechanics. A. Solids
4 Acta Mathematica Sinica. English Series
3 Archive for Rational Mechanics and Analysis
3 Journal of Applied Mathematics and Mechanics
3 Studies in Applied Mathematics
2 Acta Mechanica
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Physics
2 Journal of the Mechanics and Physics of Solids
2 Mathematical Notes
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Applied Mathematics and Computation
2 Journal of Computational and Applied Mathematics
2 Communications in Nonlinear Science and Numerical Simulation
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 International Journal of Solids and Structures
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Russian Mathematical Surveys
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Journal of Differential Equations
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Acta Mathematicae Applicatae Sinica. English Series
1 SIAM Journal on Applied Mathematics
1 Vestnik St. Petersburg University. Mathematics
1 Russian Journal of Mathematical Physics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Sbornik: Mathematics
1 Discrete and Continuous Dynamical Systems
1 Nonlinear Dynamics
1 Journal of Applied Mechanics and Technical Physics
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of Mathematical Fluid Mechanics
1 Doklady Physics
1 International Journal of Modern Physics C
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Acta Mechanica Sinica
1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
1 International Journal of Differential Equations
1 Evolution Equations and Control Theory
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Water Waves

Citations by Year