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Il'ichev Andrej Teimurazovich
(full list of publications)
| by years | scientific publications | by types |


1. A. T. Il'ichev, A. S. Savin, TMF (to appear)  mathnet

2. 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.  mathnet  crossref  isi  scopus
3. A. T. Ilichev, “Ustoichivost uedinennykh voln v membrannykh trubakh: slabo nelineinyi analiz”, TMF, 2017 (to appear)  mathnet [A. T. Il'ichev, TMF (to appear)]

4. A. T. Il'ichev, “Solitary wave packets beneath a compressed ice cover”, Fluid Dyn., 51:3 (2016), 327–337  mathnet  crossref  crossref  zmath  isi (cited: 1)  elib  elib  scopus
5. 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  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
6. 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  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  elib  scopus
7. 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  mathnet  crossref  isi  elib  elib  scopus

8. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 4)  elib  scopus (cited: 3)
9. 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  mathnet  crossref  isi (cited: 3)  elib (cited: 1)  scopus (cited: 3)
10. A. T. Il'ichev, A. P. Chugainova, V. A. Shargatov, “Spectral stability of special discontinuities”, Dokl. Math., 91:3 (2015), 347–351  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib  scopus (cited: 3)
11. A. T. Il'ichev, “Envelope Solitary Waves and Dark Solitons at a Water–Ice Interface”, Proc. Steklov Inst. Math., 289 (2015), 152–166  mathnet  crossref  crossref  isi (cited: 3)  elib  scopus
12. 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  mathnet (cited: 2)  crossref  mathscinet  isi (cited: 3)  elib (cited: 2)  scopus (cited: 2)
13. 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  mathnet
14. A. T. Il'ichev, “Soliton-like structures on a water-ice interface”, Russian Math. Surveys, 70:6 (2015), 1051–1103  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib  scopus

15. 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  mathnet  crossref  mathscinet  isi (cited: 3)  scopus (cited: 5)

16. 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  mathnet  crossref  crossref  isi  elib
17. A. T. Il'ichev, V. A. Shargatov, “Dynamics of vater evaporation fronts”, Comput. Math. Math. Phys., 53:9 (2013), 1350–1370  mathnet  crossref  crossref  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
18. 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  mathnet  crossref  elib
19. 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  mathnet  crossref  elib

20. 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  mathnet  crossref  crossref  adsnasa  isi  elib  elib  scopus
21. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 10)
22. 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  mathnet  crossref  mathscinet  isi (cited: 3)  elib  scopus (cited: 4)
23. A. T. Il'ichev, G. G. Tsypkin, “Stability of water-vapor phase transition in geothermal systems”, Fluid Dynamics, 47:4 (2012), 501–510  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)

24. 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  crossref  isi (cited: 2)  elib  scopus (cited: 2)

25. 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  crossref  mathscinet (cited: 1)  isi (cited: 11)  elib (cited: 15)  scopus (cited: 11)

26. 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  crossref  mathscinet  adsnasa  isi (cited: 9)  elib (cited: 10)  scopus (cited: 10)
27. 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  crossref  mathscinet  isi  elib  scopus
28. 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  crossref  mathscinet  zmath  isi
29. 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  crossref  mathscinet (cited: 1)  isi (cited: 12)  elib (cited: 9)  scopus (cited: 11)
30. 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  crossref  mathscinet  adsnasa  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)
31. A. T. Il'ichev, G. G. Tsypkin, “Instabilities of uniform filtration flows with phase transition”, J. Exp. Theor. Phys., 107:4 (2008), 699–711  crossref  adsnasa  isi (cited: 10)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 8)

32. 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  crossref  mathscinet  adsnasa  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
33. A. T. Ilichev, G. G. Tsypkin, “Slabonelineinaya teoriya neustoichivosti dlinnovolnovykh vozmuschenii”, Dokl. RAN, 416:2 (2007), 192–194  mathnet (cited: 2)  elib (cited: 6)

34. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
35. A. T. Il'ichev, “Instability of solitary waves on Euler's elastica”, Z. Angew. Math. Phys., 57:4 (2006), 547–566  crossref  mathscinet (cited: 1)  isi (cited: 2)  scopus (cited: 2)
36. 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  crossref  mathscinet (cited: 1)  zmath  isi (cited: 3)  elib (cited: 3)  scopus (cited: 3)

37. A. T. Il'ichev, G. G. Tsypkin, “Transition to instability of the interface in geothermal systems”, Eur. J. Mech. B Fluids, 24:4 (2005), 491–501  crossref  mathscinet (cited: 1)  isi (cited: 12)  elib (cited: 11)  scopus (cited: 11)
38. A. T. Il'ichev, “Stability Theory of the Euler Loop on Inextensible Elastic Rods”, Proc. Steklov Inst. Math., 251 (2005), 146–164  mathnet  mathscinet  zmath

39. A. T. Ilichev, “Neustoichivost solitonov v nerastyazhimykh sterzhnyakh”, Dokl. RAN, 397:3 (2004), 304–307  mathnet (cited: 1)  mathscinet (cited: 1)
40. A. T. Il'ichev, G. G. Tsypkin, “Criteria of hydrodynamic instability of a phase interface in hydrothermal systems”, Fluid Dynam., 39:5 (2004), 762–770  crossref  mathscinet  adsnasa  isi (cited: 5)  elib (cited: 4)  scopus (cited: 5)
41. A. T. Il'ichev, A. S. Savin, “On the process of establishment of surface waves in plane flow”, Fluid Dynam., 39:4 (2004), 574–581  crossref  mathscinet  adsnasa  isi  scopus (cited: 2)
42. L. Brevdo, A. Il'ichev, “Absolute instability of a thin visco-elastic plate in an air flow”, Eur. J. Mech. A Solids, 23:6 (2004), 1069–1084  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 3)
43. G. Tsypkin, A. Il'ichev, “Gravitational stability of the interface in water over steam geothermal reservoirs”, Transp. Porous Media, 55:2 (2004), 183–199  crossref  mathscinet (cited: 1)  isi (cited: 14)  elib (cited: 17)  scopus (cited: 16)
44. A. T. Ilichev, G. G. Tsypkin, “Kriterii gidrodinamicheskoi ustoichivosti sloya tyazheloi zhidkosti nad legkoi v geotermalnom rezervuare”, Dokl. RAN, 396:5 (2004), 615–619  mathnet

45. 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  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 5)  scopus (cited: 4)

46. A. T. Il'ichev, “Instability of waveguides in a liquid with surface effects”, Fluid Dynam., 37:6 (2002), 919–930  crossref  mathscinet  isi  elib  scopus
47. 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  mathscinet  elib
48. 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  crossref  mathscinet (cited: 2)  zmath  isi (cited: 4)  elib (cited: 4)  scopus (cited: 4)
49. 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  crossref  isi (cited: 2)  elib (cited: 3)  scopus (cited: 3)

50. I. B. Bakholdin, A. T. Il'ichev, “Instability of solitary waves in non-linear composite media”, J. Appl. Math. Mech., 65:6 (2001), 977–984 (2002)  crossref  mathscinet  zmath  isi  elib  scopus
51. F. Dias, A. Il'ichev, “Interfacial waves with free-surface boundary conditions: an approach via a model equation”, Phys. D, 150:3-4 (2001), 278–300  crossref  mathscinet (cited: 5)  zmath  isi (cited: 10)  elib (cited: 11)  scopus (cited: 12)
52. A. Il'ichev, “Stability of solitary waves in nonlinear composite media”, Phys. D, 150:3-4 (2001), 264–277  crossref  mathscinet (cited: 4)  isi (cited: 5)  elib (cited: 7)  scopus (cited: 7)
53. L. Brevdo, F. Il'ichev, “Multi-modal destabilization of a floating ice layer by wind stress”, Cold Reg. Sci. Technol., 33 (2001), 77–89  crossref  elib (cited: 9)  scopus (cited: 9)
54. G. G. Tsypkin, A. T. Ilichev, “Ustoichivost statsionarnogo fronta fazovykh perekhodov voda-par v gidrotermalnykh sistemakh”, Dokl. RAN, 378 (2001), 197–200  mathnet (cited: 1)

55. A. A. Zharkov, A. T. Il'ichev, “Solitary waves in a collisionless plasma with isothermal pressure”, Fluid Dynam., 35:5 (2000), 738–747  crossref  mathscinet  zmath  elib
56. A. T. Il'ichev, “Solitary waves in media with dispersion and dissipation (a review)”, Fluid Dynam., 35:2 (2000), 157–176  crossref  mathscinet  adsnasa  elib (cited: 10)  scopus (cited: 14)
57. 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  crossref
58. A. T Ilichev, “Ustoichivost solitonov v nelineinykh kompozitnykh sredakh”, ZhETF, 118 (2000), 720–729

59. 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  crossref  mathscinet (cited: 2)  isi (cited: 7)  elib (cited: 7)  scopus (cited: 8)
60. I. Bakholdin, A. Il'ichev, “Solitary wave decay in non-linear Faraday resonance”, Eur. J. Mech. B Fluids, 18:1 (1999), 93–102  crossref  mathscinet  zmath  isi  elib (cited: 1)  scopus (cited: 1)

61. 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  mathscinet  zmath
62. 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  crossref  mathscinet (cited: 8)  isi (cited: 26)  elib (cited: 28)  scopus (cited: 29)
63. A. Il'ichev, “Faraday resonance: asymptotic theory of surface waves”, Phys. D, 119:3-4 (1998), 327–351  crossref  mathscinet (cited: 5)  isi (cited: 2)  elib (cited: 5)  scopus (cited: 5)
64. L. Brevdo, A. Il'ichev, “Exponential neutral stability of a floating ice layer”, Z. Angew. Math. Phys., 49:3 (1998), 401–419  crossref  mathscinet (cited: 1)  zmath  isi (cited: 6)  scopus (cited: 6)
65. I. Bakholdin, A. Il'ichev, “Solitary-wave decay in a cold plasma”, J. Plasma Physics, 60 (1998), 569–580  crossref  isi (cited: 7)  scopus (cited: 9)

66. A. T. Il'ichev, “Solitary and generalized solitary waves in dispersive media”, J. Appl. Math. Mech., 61:4 (1997), 587–600  crossref  mathscinet  isi (cited: 2)  scopus (cited: 3)
67. 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  crossref  mathscinet  isi (cited: 5)  scopus (cited: 6)

68. 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  crossref  mathscinet (cited: 2)  zmath
69. A. Beliaev, A. Il'ichev, “Conditional stability of solitary waves propagating in elastic rods”, Phys. D, 90:1-2 (1996), 107–118  crossref  mathscinet (cited: 3)  zmath  isi (cited: 10)  elib (cited: 10)  scopus (cited: 11)
70. A. T. Il'ichev, “Solitary waves in a cold plasma”, Math. Notes, 59:5 (1996), 518–524  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
71. A. T. Ilichev, “Uedinennye volny-pakety v kholodnoi plazme”, Izv. RAN. MZhG, 1996, no. 5, 154–161
72. A. T. Il'ichev, “Steady waves in a cold plasma”, J. Plasma Physics, 55 (1996), 181–194  crossref  isi (cited: 9)  scopus (cited: 12)

73. 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  mathscinet
74. 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
75. A. T. Il'ichev, “The existence of solitary waves in dispersive media”, BRAS Physics/Supplement Physics of Vibrations, 59:2 (1995), 88–97
76. 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

77. A. T. Il'ichev, “Existence of a family of soliton-like solutions for the Kawahara equation”, Math. Notes, 52:1 (1992), 662–668  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
78. 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  crossref  scopus (cited: 31)

79. 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)  mathnet  mathscinet  zmath  adsnasa  isi

80. A. T. Il'ichev, “Theory of nonlinear waves described by fifth-order evolution equations”, Fluid Dynam., 25:2 (1990), 247–252  crossref  mathscinet  adsnasa  scopus (cited: 2)

81. 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  crossref  mathscinet  adsnasa  scopus (cited: 9)
82. 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  mathscinet
83. A. T. Ilichev, “O svoistvakh odnogo nelineinogo evolyutsionnogo uravneniya pyatogo poryadka, opisyvayuschego volnovye protsessy v sredakh so slaboi dispersiei”, Sovremennye matematicheskie problemy mekhaniki i ikh prilozheniya, K 80-letiyu so dnya rozhdeniya akademika Leonida Ivanovicha Sedova, Tr. MIAN SSSR, 186, Nauka, M., 1989, 222–226  mathnet (cited: 2)  mathscinet (cited: 3)  zmath; 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  mathscinet  zmath

84. 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  mathscinet
85. 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)  mathscinet

86. A. T. Ilichev, “The Sturm-Liouville problem for stationary axisymmetric gravitational fields”, Dokl. AN SSSR, 291:1 (1986), 67–71  mathnet  mathscinet  adsnasa  isi
87. 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

88. A. T. Ilichev, N. R. Sibgatullin, “Mathematical construction of multivalent solutions in general relativity theory”, Dokl. AN SSSR, 282:5 (1985), 1098–1103  mathnet  mathscinet  adsnasa  isi
89. 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  mathscinet  adsnasa  isi

90. A. T. Ilichev, “Static soliton solutions of Einstein-Maxwell equations”, Dokl. AN SSSR, 278:1 (1984), 82–85  mathnet  mathscinet  adsnasa  isi


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