nonlinear waves,
dispersive and dissipative media,
hamiltonian systems,
orbital stability of bound states,
solitary waves,
exponential instability,
Evans' function,
collapse,
asymptotic methods,
qualitative theory of dynamical systems,
center manifold reduction,
normal forms.
Subject:
The scientific interests concern the propagation of nonlinear waves in dispersive and dissipative media, stability of localized wave structures and also of interfaces in fluid mechanics, elasticity, and filtration theory. A number of results were obtained about the existence and propagation of different types of solitary waves in dispersive and dissipative media of fluid mechanics. The results are included in the monography "Solitary waves in fluid dynamics". The problems are solved about the stability and instability of solitons in fluids, plasmas, elastic rods and composites and also of waveguide structures in the fluid. In a number of papers with G. G. Tsypkin a topological approach is adapted to investigation of stability of water-vapor interfaces in some models of hydrothermal systems. It was shown that stability of the interface persists for values of permeability, characteristic for natural hydrothermal reservoirs.
Biography
Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov State University (MSU) in 1981 (department of hydromechanics). Ph.D. thesis was defended in 1986 D.Sci. thesis was defended in 1996. A list of my works contains about 50 titles.
In 1999 I was awarded the prize named after Academician G. I. Petrov for series of papers on nonlinear problems of theory of hydrodynamical stability.
Main publications:
Haragus-Courcelle M., Ilichev A. Three dimensional solitary waves in the presence of additional surface effects // Eur. J. Mech. B/Fluids, 1998, 17, 739–768.
Ilichev A. Stability of solitary waves in nonlinear composite media // Physica D, 2001, 150, 264–277.
A. T. Il'ichev, A. S. Savin, A. Yu. Shashkov, “Motion of particles in the field of nonlinear wave packets in a liquid layer under an ice cover”, Theoret. and Math. Phys., 218:3 (2024), 503–514
2.
A. T. Il'ichev, A. S. Savin, A. Yu. Shashkov, “Motion of liquid particles in the field of 1:1 resonance nonlinear wave structures in a fluid beneath an ice cover”, Int. J. Non-Linear Mech., 160 (2024), 104665 , 9 pp. ;
3.
A. T. Il'ichev, A. S. Savin, “Motion of liquid particles in the field of a surface generalized solitary wave in a fluid beneath an ice cover”, Mathematical Aspects of Mechanics, Collected papers. Dedicated to Dmitry Valerevich Treschev on the occasion of his 60th birthday and to Sergey Vladimirovich Bolotin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 327, Steklov Math. Inst., Moscow, 2024 (to appear)
4.
A. T. Il'ichev, “Convective Modulation Instability of the Radiation of the Periodic Component in the Case of Resonance of Long and Short Waves”, Proc. Steklov Inst. Math., 322 (2023), 118–126
5.
V.I. Erofeev, A.T. Il'ichev, “Instability of supersonic solitary waves in a generalized elastic electrically conductive medium”, Contin. Mech. Thermodin., 35 (2023), 2313-2323
6.
A.T. Ilichev, G.G. Tsypkin, “Sravnitelnyi analiz priblizhenii Darsi i Brinkmana pri perekhode k neustoichivosti v poristoi srede”, Doklady RAN. Fizika, tekhnicheskie nauki, 508:1 (2023), 30–34
7.
A.T. Il'ichev, G.G. Tsypkin, “Stability of the Interface in a Porous Medium in the Framework of Darcy’s and Brinkman’s Approximations”, Transp. Porous Media, 148 (2023), 317-333
A.T. Ilichev, A.S. Savin, A.Yu. Shashkov, “Traektorii chastits zhidkosti pod ledyanym pokrovom v pole uedinennoi izgibno-gravitatsionnoi volny”, Izv. vuzov. Radiofizika, 66:10 (2023), 848-861
9.
A. T. Il'ichev, A. S. Savin, A. Yu. Shashkov, Fluid Dyn., 58 (2023), 1076–1086
10.
A. T. Il'ichev, V. A. Shargatov, “Stability of an aneurysm in a membrane tube filled with an ideal fluid”, Theoret. and Math. Phys., 211:2 (2022), 642–652
11.
A. T. Il'ichev, “Stability of bound states in infinite domains”, Lekts. Kursy NOC, 32, Steklov Math. Institute of RAS, Moscow, 2022, 3–58 , 58 pp.
12.
I. B. Bakholdin, A. T. Ilichev, “Fast magnetosonic solitonic structures in a quasi-neutral collision-free finite-beta plasma”, Wave Motion, 112 (2022), 102936 , 15 pp. ;
A. T. Il'ichev, V. A. Shargatov, “Stability of the aneurysm-type solution in a membrane tube with localized wall thinning filled with a fluid with a non-constant velocity profile”, J. Fluids Struct., 114 (2022), 103712 , 12 pp. ;
14.
G. G. Tsypkin, A. T. Il'ichev, “Superheating of water and morphological instability of the boiling front moving in the low-permeability rock”, Int. J. Heat Mass Transfer, 167 (2021), 120820 , 8 pp. ;
A. T. Il'ichev, “Effective wavelength of envelope waves on the water surface beneath an ice sheet: small amplitudes and moderate depths”, Theoret. and Math. Phys., 208:3 (2021), 1182–1200
16.
A. T. Il'ichev, A. S. Savin, “Evolution of perturbations of a free surface from a pulsating underwater source in a fluid of finite depth”, Fluid Dyn., 56:6 (2021), 780–785
17.
V. A. Shargatov, A. T. Ilichev, “Dinamika vozmuschenii pri diffuzii v poristoi srede”, Izbrannye voprosy matematiki i mekhaniki, Sbornik statei. K 70-letiyu so dnya rozhdeniya akademika Valeriya Vasilevicha Kozlova, Tr. MIAN, 310, MIAN, M., 2020, 309–321
18.
S. V. Gorkunov, A. T. Il'ichev, V. A. Shargatov, “Critical evolution of finite perturbations of a water evaporation surface in porous media”, Fluid Dyn., 55:2 (2020), 204–212
19.
A. T. Il'ichev, “Dynamics and spectral stability of soliton-like structures in fluid-filled membrane tubes”, Russian Math. Surveys, 75:5 (2020), 843–882
20.
A. G. Kulikovskii, A. T. Il'ichev, A. P. Chugainova, V. A. Shargatov, “On the Structure Stability of a Neutrally Stable Shock Wave in a Gas and on Spontaneous Emission of Perturbations”, J. Exp. Theor. Phys., 131:3 (2020), 481–495
21.
A. T. Il'ichev, V. A. Shargatov, Y. B. Fu, “Characterization and dynamical stability of fully nonlinear strain solitary waves in a fluid-filled hyperelastic membrane tube”, Acta Mech., 231 (2020), 4095–4110;
Vladimir A. Shargatov, Sergey V. Gorkunov, Andrej T. Il'ichev, “Stability of finite perturbations of the phase transition interface for one problem of water evaporation in a porous medium”, Appl. Math. Comput., 378 (2020), 152208 , 17 pp. ;
G. G. Tsypkin, A. T. Il'ichev, “Comparative Analysis of the Occurrence of Water Superheating and Instability of the Boiling Front in a Porous Medium”, Dokl. Phys., 65:9 (2020), 333–337
24.
V. A. Shargatov, S. V. Gorkunov, A. T. Il'ichev, “Dynamics of front-like water evaporation phase transition interfaces”, Commun. Nonlinear Sci. Numer. Simul., 67 (2019), 223–236
Andrej T. Il'ichev, Viktor Ja. Tomashpolskii, “Characteristic parameters of nonlinear surface envelope waves beneath an ice cover under pre-stress”, Wave Motion, 86 (2019), 11–20
A. P. Chugainova, A. T. Ilichev, V. A. Shargatov, “Stability of shock wave structures in nonlinear elastic media”, Math. Mech. Solids, 24:11 (2019), 3456-3471
A. G. Kulikovskii, A. T. Il'ichev, A. P. Chugainova, V. A. Shargatov, “Spontaneously radiating shock waves”, Doklady Physics, 64:7 (2019), 293–296
28.
A. T. Il'ichev, “Physical parameters of solitary wave packets in shallow basins under ice cover”, Theoret. and Math. Phys., 201:3 (2019), 1710–1722
29.
A. T. Il'ichev, “Stability of solitary loops propagating along Euler's elastica”, Dynamical Processes in Generalized Continua and Structures, Adv. Struct. Mater., 103, Springer, Cham, 2019, 269–292;
30.
A. T. Il'ichev, S. I. Sumskoi, V. A. Shargatov, “Unsteady Flows in Deformable Pipes: The Energy Conservation Law”, Proc. Steklov Inst. Math., 300 (2018), 68–77
31.
A. T. Il'ichev, G. G. Tsypkin, “Evolution of a Condensation Surface in a Porous Medium near the Instability Threshold”, Proc. Steklov Inst. Math., 300 (2018), 78–85
32.
Andrej Il'ichev, “Physical parameters of envelope solitary waves at a water-ice interface”, AIP Conf. Proc., 1982, 2018, 20036 , 6 pp.
A. T. Il'ichev, “Envelope solitary waves at a water-ice interface: the case of positive initial tensions”, Mathematica Montisnigri, 43 (2018), 49–57
34.
Anna P. Chugainova, Andrey T. Il'ichev, Andrey G. Kulikovskii, Vladimir A. Shargatov, “Problem of arbitrary discontinuity disintegration for the generalized Hopf equation: selection conditions for a unique solution”, J. Appl. Math., 82:3 (2017), 496 , 525 pp.
A. T. Il'ichev, A. S. Savin, “Process of establishing a plane-wave system on ice cover over a dipole moving uniformly in an ideal fluid column”, Theoret. and Math. Phys., 193:3 (2017), 1801–1810
36.
A. T. Il'ichev, “Stability of solitary waves in membrane tubes: A weakly nonlinear analysis”, Theoret. and Math. Phys., 193:2 (2017), 1593–1601
37.
A. T. Il'ichev, “Solitary wave packets beneath a compressed ice cover”, Fluid Dyn., 51:3 (2016), 327–337
38.
G. G. Tsypkin, A. T. Il'ichev, “Dynamical instability of the evaporation front in low-permeability geothermal reservoirs”, Dokl. Phys., 61:6 (2016), 297–300
39.
A. T. Il'ichev, A. P. Chugainova, “Spectral stability theory of heteroclinic solutions to the Korteweg–de Vries–Burgers equation with an arbitrary potential”, Proc. Steklov Inst. Math., 295 (2016), 148–157
40.
A. T. Il'ichev, G. G. Tsypkin, “Morphological instability of an evaporation front moving in a geothermal reservoir”, Fluid Dynamics, 51:6 (2016), 776–783
41.
A. T. Il'ichev, V. Ya. Tomashpolskii, “Soliton-like structures on a liquid surface under an ice cover”, Theoret. and Math. Phys., 182:2 (2015), 231–245
42.
V. A. Shargatov, A. T. Il'ichev, G. G. Tsypkin, “Dynamics and stability of moving fronts of water evaporation in a porous medium”, Int. J. Heat and Mass Transfer, 83 (2015), 552–561
A. T. Il'ichev, A. P. Chugainova, V. A. Shargatov, “Spectral stability of special discontinuities”, Dokl. Math., 91:3 (2015), 347–351
44.
A. T. Il'ichev, “Envelope Solitary Waves and Dark Solitons at a Water–Ice Interface”, Proc. Steklov Inst. Math., 289 (2015), 152–166
45.
Y. B. Fu, A. T. Il'ichev, “Localized standing waves in a hyperelastic membrane tube and their stabilization by a mean flow”, Math. Mech. Solids, 20 (2015), 1198–2014
Andrej T. Il'ichev, G. G. Tsypkin, “Geothermal energy and hydrodynamic instability of phase flows”, Energy Science and Technology. Volume 9. Geothermal and Ocean Energy, eds. U. C. Sharma, R. Prasad and S. Sivakumar, Studium Press LLC, USA, Houston, 2015, 214–241
47.
A. T. Il'ichev, “Soliton-like structures on a water-ice interface”, Russian Math. Surveys, 70:6 (2015), 1051–1103
48.
A. T. Il'ichev, Y. B. Fu, “Stability of an inflated hyperelastic membrane tube with localized wall thinning”, Internat. J. Engrg. Sci., 80 (2014), 53–61
A. T. Ilichev, A. V. Krivosheev, G. G. Tsypkin, V. A. Shargatov, “Dinamika i ustoichivost dvizhuschikhsya frontov ispareniya vody v poristoi srede”, Nauchnaya sessiya NIYaU MIFI-2014, Annotatsii dokladov (Moskva, 30 iyunya – 04 iyulya 2014 g.), Natsionalnyi issledovatelskii yadernyi universitet MIFI, M., 2014, 217
50.
A. T. Il'ichev, G. G. Tsypkin, “Classification of the Types of Instability of Vertical Flows in Geothermal Systems”, Proc. Steklov Inst. Math., 281 (2013), 179–188
51.
A. T. Il'ichev, V. A. Shargatov, “Dynamics of vater evaporation fronts”, Comput. Math. Math. Phys., 53:9 (2013), 1350–1370
52.
A. T. Ilichev, A. A. Savin, “Defocusing of nonlinear wave packets on an ice cover”, Engineering Journal: Science and Innovation, 2013, no. 2, 47–25
53.
A. T. Ilichev, G. G. Tsypkin, “Interaction of stabilizing and destabilizing factors and bifurcations of phase transition fronts”, Engineering Journal: Science and Innovation, 2013, no. 2, 44–13
54.
A. T. Il'ichev, V. Ja. Tomashpolskii, “Instability of solitons under flexure and twist of an elastic rod”, Theoret. and Math. Phys., 172:3 (2012), 1206–1216
55.
A. T. Il'ichev, Y.-B. Fu, “Stability of aneurysm solutions in a fluid-filled elastic membrane tube”, Acta Mechanica Sinica, 28:4 (2012), 1209–1218
A. T. Il'ichev, A. A. Savin, A. S. Savin, “Formation of wave on an ice-sheet above the dipole, moving in a fluid”, Dokl. Phys., 57:5 (2012), 202–205
57.
A. T. Il'ichev, G. G. Tsypkin, “Stability of water-vapor phase transition in geothermal systems”, Fluid Dynamics, 47:4 (2012), 501–510
58.
A. T. Il'ichev, G. G. Tsypkin, “Influence of advective transfer of energy on stability water over steam in geothermal reservoirs”, Dokl. Phys., 56 (2011), 227–231
59.
Y. B. Fu, A. T. Il'ichev, “Solitary waves in fluid-filled elastic tubes: existence, persistence, and the role of axial displacement”, IMA J. Appl. Math., 75:2 (2010), 257–268
A. T. Ilichev, Ustoichivost lokalizovannykh voln v nelineino-uprugikh sterzhnyakh, Fizmatlit, M., 2009 , 159 pp.
61.
A. T. Il'ichev, G. G. Tsypkin, D. Pritchard, Ch. N. Richardson, “Instability of the salinity profile during the evaporation of saline groundwater”, J. Fluid Mech., 614 (2008), 87–104
A. T. Il'ichev, “Neutral stability of compression solitons in the bending of a nonlinearly elastic rod”, J. Appl. Math. Mech., 72:3 (2008), 323–330
63.
A. Il'ichev, G. Tsypkin, “Long-wave transition to instability of flows in horizontally extended domains of porous media”, IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence, IUTAM Bookser., 6, Springer-Verlag, Dordrecht, 2008, 291–301
64.
A. T. Il'ichev, G. G. Tsypkin, “Catastrophic transition to instability of evaporation front in a porous medium”, Eur. J. Mech. B Fluids, 27:6 (2008), 665–677
A. T. Il'ichev, V. E. Odintsova,, “Evolution of a long-wave train in loss of stability of a phase interface in geothermal systems”, Fluid Dyn., 43:1 (2008), 97–104
66.
A. T. Il'ichev, G. G. Tsypkin, “Instabilities of uniform filtration flows with phase transition”, J. Exp. Theor. Phys., 107:4 (2008), 699–711
67.
A. T. Il'ichev, G. G. Tsypkin, “Rayleigh–Taylor instability of an interface in a nonwettable porous medium”, Fluid Dynam., 42:1 (2007), 83–90
68.
A. T. Ilichev, G. G. Tsypkin, “Slabonelineinaya teoriya neustoichivosti dlinnovolnovykh vozmuschenii”, Dokl. RAN, 416:2 (2007), 192–194
G. G. Tsypkin, A. T. Il'ichev, “Rigid transition to the Rayleigh-Taylor instability of interface in a porous medium”, Dokl. Phys., 51:9 (2006), 523–527
70.
A. T. Il'ichev, “Instability of solitary waves on Euler's elastica”, Z. Angew. Math. Phys., 57:4 (2006), 547–566
L . Brevdo, A. Il'ichev, “Uni-modal destabilization of a visco-elastic floating ice layer by wind stress”, Eur. J. Mech. A Solids, 25:3 (2006), 509–525
G. Tsypkin, A. Il'ichev, “Gravitational stability of the interface in water over steam geothermal reservoirs”, Transp. Porous Media, 55:2 (2004), 183–199
A. T. Ilichev, G. G. Tsypkin, “Kriterii gidrodinamicheskoi ustoichivosti sloya tyazheloi zhidkosti nad legkoi v geotermalnom rezervuare”, Dokl. RAN, 396:5 (2004), 615–619
80.
I. Bakholdin, A. Il'ichev, “Instability and collapse of waveguides on the water surface under the ice cover”, Eur. J. Mech. B Fluids, 22:3 (2003), 291–304
A. T. Ilichev, Uedinennye volny v modelyakh gidromekhaniki, Fizmatlit, 2003 , 256 pp.
82.
A. T. Il'ichev, “Instability of waveguides in a liquid with surface effects”, Fluid Dynam., 37:6 (2002), 919–930
83.
A. T. Il'ichev, G. G. Tsypkin, “Gravitational stability of a moving water-steam interface in hydrothermal systems”, Fluid Dynam., 37:1 (2002), 3–12
84.
I. Bakholdin, A. Il'ichev, V. Tomashpol'skii, “Stability, instability and interaction of solitary pulses in a composite medium”, Eur. J. Mech. A Solids, 21:2 (2002), 333–346
I. Bakholdin, A. Il'ichev, A. Zharkov, “Steady magnetoacoustic waves and decay of solitonic structures in a finite-beta plasma”, J. Plasma Physics, 67 (2002), 1–26
G. G. Tsypkin, A. T. Ilichev, “Ustoichivost statsionarnogo fronta fazovykh perekhodov voda-par v gidrotermalnykh sistemakh”, Dokl. RAN, 378 (2001), 197–200
A. A. Zharkov, A. T. Il'ichev, “Solitary waves in a collisionless plasma with isothermal pressure”, Fluid Dynam., 35:5 (2000), 738–747
92.
A. T. Il'ichev, “Solitary waves in media with dispersion and dissipation (a review)”, Fluid Dynam., 35:2 (2000), 157–176
93.
I. B. Bakholdin, F. F. Zharkov, A. N. Il'ichev, “Decay of solitons in an isotropiic collisionless quasineutral plasma with isothermal pressure”, J. Exp. Theor. Phys, 2000, 111–125
94.
A. T Ilichev, “Ustoichivost solitonov v nelineinykh kompozitnykh sredakh”, ZhETF, 118 (2000), 720–729
95.
A. Il'ichev, “Self-channelling of surface water waves in the presence of an additional surface pressure”, Three-dimensional aspects of air-sea interaction (Nice, 1998), Eur. J. Mech. B Fluids, 18, no. 3, 1999, 501–510
I. Bakholdin, A. Il'ichev, “Solitary wave instability in a cold plasma”, Proceedings of the IX International Conference on Waves and Stability in Continuous Media (Bari, 1997), Rend. Circ. Mat. Palermo (2) Suppl., no. 57, 1998, 33–38
98.
M. Hărăguş-Courcelle, A. Il'ichev, “Three-dimensional solitary waves in the presence of additional surface effects”, Eur. J. Mech. B Fluids, 17:5 (1998), 739–768
A. T. Il'ichev, “Solitary and generalized solitary waves in dispersive media”, J. Appl. Math. Mech., 61:4 (1997), 587–600
103.
A. T. Il'ichev, A. V. Marchenko, “The formation of non-linear waveguides in the resonant interaction of three surface waves”, J. Appl. Math. Mech., 61:2 (1997), 183–193
104.
I. Bakholdin, A. Il'ichev, “Radiation and modulational instability described by the fifth-order Korteweg-de Vries equation”, Mathematical problems in the theory of water waves (Luminy, 1995), Contemp. Math., 200, Amer. Math. Soc., Providence, RI, 1996, 1–15
A. T. Il'ichev, “Periodic and quasi-periodic Alfvenic structures in a cold plasma”, Proceedings of the IUTAM/ISIMM Symposium on Structure and Dynamics of Nonlinear Waves in Fluids (Hannover, 1994), Adv. Ser. Nonlinear Dynam., 7, World Sci. Publ., River Edge, NJ, 1995, 275–281
110.
A. T. Il'ichev, A. V. Marchenko, “Nonlinear waveguides in resonance three-wave interaction in an ideal fluid with surface effects”, BRAS Physics/Supplement Physics of Vibrations, 59:2 (1995), 98–107
111.
A. T. Il'ichev, “The existence of solitary waves in dispersive media”, BRAS Physics/Supplement Physics of Vibrations, 59:2 (1995), 88–97
112.
A. T. Il'ichev, “On the existence of generalized solitary waves in media with weak dispersion”, BRAS Physics/Supplement Physics of Vibrations, 59:3 (1995), 130–140
113.
A. T. Il'ichev, “Existence of a family of soliton-like solutions for the Kawahara equation”, Math. Notes, 52:1 (1992), 662–668
114.
A. T. Il'ichev, A. Yu. Semenov, “Stability of solitary waves in dispersive media described by a fifth-order evolution equation”, Theoretical and Computational Fluid Dynamics, 3 (1992), 307-326
A. T. Il'ichev, A. Yu. Semenov, “Orbital stability of boundary states in the theory of long waves with additional pressure”, Soviet Phys. Dokl., 36:11 (1991), 761–762 (1992)
116.
A. T. Il'ichev, A. Yu. Semënov, Stability of subcritical solitary wave solutions to fifth order evolution equation, Preprint № 28, Akad. Nauk SSSR Inst. Obshcheĭ Fiz., Moscow, 1991 , 44 pp.
117.
A. T. Il'ichev, “Theory of nonlinear waves described by fifth-order evolution equations”, Fluid Dynam., 25:2 (1990), 247–252
118.
A. T. Il'ichev, A. V. Marchenko, “Propagation of long nonlinear waves in a ponderable fluid beneath an ice sheet”, Fluid Dynam., 24:1 (1989), 73–79
119.
V. P. Korobeĭnikov, A. T. Il'ichev, “On some methods of qualitative investigation of one-dimensional evolution equations in continuum mechanics”, Nonlinear wave motion, Pitman Monogr. Surveys Pure Appl. Math., 43, Longman Sci. Tech., Harlow, 1989, 129–147
120.
A. T. Il'ichev, “Properties of a fifth-order nonlinear evolution equation that describes wave processes in media with weak dispersion”, Proc. Steklov Inst. Math., 186 (1991), 255–260
121.
N. R. Sibgatullin, A. T. Ilichev, “A new method for the integration of equations for axisymmetric and stationary electrovacuum fields and the construction of their general solution”, Gravitatsiya i teoriya otnositelnosti, 24, 1987, 80–93
122.
A. T. Ilichev, V. P. Korobeinikov, “Evolution of singular perturbations in nonlinear media with weak dispersion”, Proceedings of the Eleventh International Conference on Nonlinear Oscillations (Budapest, 1987), János Bolyai Math. Soc., Budapest, 1987, 290–292 (Russian)
123.
A. T. Ilichev, “The Sturm-Liouville problem for stationary axisymmetric gravitational fields”, Dokl. AN SSSR, 291:1 (1986), 67–71
124.
A. T. Ilichev, N. R. Sibgatullin, “Effektivnoe postroenie topologicheski netrivialnykh reshenii v OTO”, Izvestiya vuzov MV i SSO SSSR, Fizika, 1986, no. 9, 75–81
125.
A. T. Ilichev, N. R. Sibgatullin, “Mathematical construction of multivalent solutions in general relativity theory”, Dokl. AN SSSR, 282:5 (1985), 1098–1103
126.
A. T. Ilichev, N. R. Sibgatullin, “Some solutions of supergravity equations on the background of a cosmological model”, Vestn. Mosk. un-ta. Ser. 1 Matem. Mekh., 1985, no. 1, 83–86
127.
A. T. Ilichev, “Static soliton solutions of Einstein-Maxwell equations”, Dokl. AN SSSR, 278:1 (1984), 82–85
128.
A. T. Il'ichev, “Static soliton solutions of Einstein–Maxwell equations”, Dokl. Akad. Nauk SSSR, 278:1 (1984), 82–85
129.
Matematicheskie aspekty mekhaniki, Sbornik statei. K 60-letiyu akademika Dmitriya Valerevicha Trescheva i 70-letiyu chlena-korrespondenta RAN Sergeya Vladimirovicha Bolotina, Trudy MIAN, 327, ed. V. V. Kozlov, I. A. Taimanov, A. T. Ilichev, A. P. Chugainova, I. Yu. Polekhin, MIAN, M., 2024
130.
S. V. Bolotin, A. T. Il'ichev, V. V. Kozlov, D. V. Treschev, A. P. Chugainova, Uspekhi Mat. Nauk
131.
Sovremennye metody mekhaniki, Sbornik statei. K 90-letiyu akademika Andreya Gennadevicha Kulikovskogo, Trudy MIAN, 322, ed. V. V. Pukhnachev, A. T. Ilichev, A. P. Chugainova, MIAN, M., 2023 , 296 pp.
132.
V. V. Pukhnachev, A. T. Il'ichev, A. P. Chugainova, “Andrei Gennad'evich Kulikovskii: On the occasion of his 90th birthday”, Proc. Steklov Inst. Math., 322 (2023), 1–3
133.
Sovremennye problemy i metody mekhaniki, Sbornik statei. K 110-letiyu so dnya rozhdeniya akademika Leonida Ivanovicha Sedova, Trudy MIAN, 300, ed. A. G. Kulikovskii, A. T. Ilichev, A. P. Chugainova, MAIK «Nauka/Interperiodika», M., 2018 , 239 pp.
134.
A. T. Il'ichev, V. V. Kozlov, D. V. Trechshev, A. P. Chugainova, “Andrei Gennad'evich Kulikovskii (on his 80th birthday)”, Russian Math. Surveys, 68:6 (2013), 1145–1155
Динамика фронтов испарения воды A. T. Il'ichev Scientific session of the Steklov Mathematical Institute dedicated to the results of 2013 November 20, 2013 14:40
Mathematical Aspects of Mechanics, Collected papers. Dedicated to Dmitry Valerevich Treschev on the occasion of his 60th birthday and to Sergey Vladimirovich Bolotin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 327, ed. V. V. Kozlov, I. A. Taimanov, A. T. Il'ichev, A. P. Chugainova, I. Yu. Polekhin, 2024 http://mi.mathnet.ru/book2006
Modern Methods of Mechanics, Collected papers. On the occasion of the 90th birthday of Academician Andrei Gennad'evich Kulikovskii, Trudy Mat. Inst. Steklova, 322, ed. V. V. Pukhnachev, A. T. Il'ichev, A. P. Chugainova, 2023, 296 с. http://mi.mathnet.ru/book1947
A. T. Il'ichev, Stability of bound states in infinite domains, Lekts. Kursy NOC, 32, 2022, 58 с. http://mi.mathnet.ru/book1914
Modern problems and methods in mechanics, Collected papers. On the occasion of the 110th anniversary of the birth of Academician Leonid Ivanovich Sedov, Trudy Mat. Inst. Steklova, 300, ed. A. G. Kulikovskii, A. T. Il'ichev, A. P. Chugainova, 2018, 239 с. http://mi.mathnet.ru/book1686
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