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Il'ichev Andrej Teimurazovich
(recent publications)
| by years | scientific publications | by types |



   2021
1. 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.  mathnet  crossref  isi  scopus;
2. 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  mathnet  crossref  crossref  isi

   2020
3. 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  mathnet  crossref  isi
4. 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  mathnet  crossref  crossref  isi  elib  scopus
5. 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  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 1)
6. 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  mathnet  crossref  crossref  isi (cited: 1)  elib  scopus (cited: 1)
7. 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  mathnet  crossref  mathscinet  isi (cited: 3)  scopus (cited: 4);
8. 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.  mathnet  crossref  mathscinet  isi  scopus;
9. 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  mathnet  crossref  crossref  isi  elib  scopus

   2019
10. 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  mathnet  crossref  mathscinet  isi (cited: 5)  scopus (cited: 8)
11. 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  mathnet  crossref  mathscinet  isi (cited: 4)  scopus (cited: 3)
12. 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  mathnet  crossref  mathscinet  isi (cited: 2)  scopus (cited: 2)
13. A. G. Kulikovskii, A. T. Il'ichev, A. P. Chugainova, V. A. Shargatov, “Spontaneously radiating shock waves”, Doklady Physics, 64:7 (2019), 293–296  mathnet  crossref  crossref  isi (cited: 1)  elib  scopus (cited: 1)
14. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 3)  elib  scopus (cited: 2)
15. 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  mathnet  crossref  mathscinet  zmath  scopus;

   2018
16. 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  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
17. 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  mathnet  crossref  crossref  mathscinet  mathscinet  isi  elib  scopus
18. 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.  mathnet
19. Andrej Il'ichev, “Physical parameters of envelope solitary waves at a water-ice interface”, AIP Conf. Proc., 1982, 2018, 20036 , 6 pp.  mathnet  crossref  mathscinet  isi (cited: 1)  scopus
20. A. T. Il'ichev, “Envelope solitary waves at a water-ice interface: the case of positive initial tensions”, Mathematica Montisnigri, 43 (2018), 49–57  mathnet  mathscinet  isi

   2017
21. 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  mathscinet  isi (cited: 12)  scopus (cited: 12)
22. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 3)  elib  elib  scopus (cited: 4)
23. A. T. Il'ichev, “Stability of solitary waves in membrane tubes: A weakly nonlinear analysis”, Theoret. and Math. Phys., 193:2 (2017), 1593–1601  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 6)  elib  scopus (cited: 7)

   2016
24. A. T. Il'ichev, “Solitary wave packets beneath a compressed ice cover”, Fluid Dyn., 51:3 (2016), 327–337  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 6)  elib  elib  scopus (cited: 3)
25. 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
26. 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: 6)  elib  elib  scopus (cited: 4)
27. 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  mathscinet  isi (cited: 3)  elib  elib  scopus (cited: 2)

   2015
28. 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  zmath  adsnasa  isi (cited: 6)  elib  scopus (cited: 5)
29. 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: 14)  elib (cited: 1)  scopus (cited: 16)
30. 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: 11)  elib  scopus (cited: 9)
31. 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: 9)  elib  scopus (cited: 4)
32. 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: 3)  crossref  mathscinet  isi (cited: 22)  elib (cited: 2)  scopus (cited: 25)
33. 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
34. 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: 17)  elib  scopus (cited: 9)

   2014
35. 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  zmath  isi (cited: 20)  scopus (cited: 21)
36. 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  elib

   2013
37. 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  mathscinet  isi  elib
38. A. T. Il'ichev, V. A. Shargatov, “Dynamics of vater evaporation fronts”, Comput. Math. Math. Phys., 53:9 (2013), 1350–1370  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 9)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 9)
39. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
40. 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
41. 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

   2012
42. 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  mathscinet  adsnasa  isi  elib  elib  scopus (cited: 1)
43. 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: 22)  scopus (cited: 22)
44. 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: 7)  elib  scopus (cited: 8)
45. 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)

   2011
46. 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: 3)  elib  scopus (cited: 3)

   2010
47. 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  zmath  isi (cited: 23)  elib (cited: 15)  scopus (cited: 24)


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