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Nigmatulin, Robert Iskandrovich
Full member of the Russian Academy of Sciences
Professor
Doctor of physico-mathematical sciences (1971)
Birth date: 17.06.1940
E-mail: ,
Website: http://www.nigmatulin.ru

https://www.mathnet.ru/eng/person22731
https://ru.wikipedia.org/wiki/Nigmatulin,_Robert_Iskandrovich
List of publications on Google Scholar
https://elibrary.ru/author_items.asp?authorid=1705
ISTINA https://istina.msu.ru/workers/11461245
https://www.webofscience.com/wos/author/record/A-7415-2016
https://www.scopus.com/authid/detail.url?authorId=7006871689
https://www.researchgate.net/profile/Robert-Nigmatulin

Publications in Math-Net.Ru Citations
2025
1. B. I. Nigmatulin, R. I. Nigmatulin, “Differentiation, efficiency and inflation in economic theory”, Dokl. RAN. Math. Inf. Proc. Upr., 522 (2025),  76–80  mathnet  elib; Dokl. Math., 111:2 (2025), 151–154
2023
2. R. I. Nigmatulin, A. A. Aganin, I. A. Aganin, A. I. Davletshin, “Dynamics of bubbles in a spherical cluster under increasing liquid pressure”, TVT, 61:5 (2023),  744–751  mathnet; High Temperature, 61:5 (2023), 681–688 1
3. A. A. Aganin, N. A. Khismatullina, R. I. Nigmatulin, “Pulse impact on cavitation bubble collapse”, TVT, 61:3 (2023),  419–425  mathnet; High Temperature, 61:3 (2023), 385–391 3
4. A. A. Aganin, I. A. Aganin, A. I. Davletshin, R. I. Nigmatulin, “Response of gas bubbles in spherical clusters to a single underpressure pulse”, TVT, 61:1 (2023),  98–107  mathnet; High Temperature, 61:1 (2023), 88–97 3
2019
5. R. I. Nigmatulin, A. A. Aganin, M. A. Il'gamov, D. Yu. Toporkov, “Extreme focusing of energy during shock compression of the vapor bubble in hydrocarbon liquids”, TVT, 57:2 (2019),  253–261  mathnet  elib; High Temperature, 57:2 (2019), 228–235  isi  scopus 11
2017
6. R. I. Nigmatulin, R. Kh. Bolotnova, “Simplified wide-range equations of state for benzene and tetradecane”, TVT, 55:2 (2017),  206–215  mathnet  elib; High Temperature, 55:2 (2017), 199–208  isi  scopus 15
2014
7. R. I. Nigmatulin, A. A. Aganin, M. A. Il'gamov, D. Yu. Toporkov, “Evolution of deviations from the spherical shape of a vapor bubble in supercompression”, Prikl. Mekh. Tekh. Fiz., 55:3 (2014),  82–102  mathnet  elib; J. Appl. Mech. Tech. Phys., 55:3 (2014), 444–461 8
8. R. I. Nigmatulin, R. T. Lahey (Jr.), R. P. Taleyarkhan, C. D. West, R. C. Block, “On thermonuclear processes in cavitation bubbles”, UFN, 184:9 (2014),  947–960  mathnet  elib; Phys. Usp., 57:9 (2014), 877–890  isi  elib  scopus 36
9. R. I. Nigmatulin, A. A. Aganin, M. A. Ilgamov, D. Yu. Toporkov, “Evolution of perturbations in the spherical shape of a cavitation bubble during its implosive collapse”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 156:1 (2014),  79–108  mathnet 1
2011
10. R. I. Nigmatulin, R. Kh. Bolotnova, “Wide-Range Equation of State of Water and Steam: Simplified Form”, TVT, 49:2 (2011),  310–313  mathnet  elib; High Temperature, 49:2 (2011), 303–306  isi  elib  scopus 58
2008
11. R. I. Nigmatulin, R. Kh. Bolotnova, “Wide-range equation of state for water and steam: Calculation results”, TVT, 46:3 (2008),  362–373  mathnet  elib; High Temperature, 46:3 (2008), 325–336  isi  elib  scopus 20
12. R. I. Nigmatulin, R. Kh. Bolotnova, “Wide-range equation of state for water and steam: Method of construction”, TVT, 46:2 (2008),  206–218  mathnet  elib; High Temperature, 46:2 (2008), 182–193  isi  elib  scopus 13
1999
13. R. I. Nigmatulin, I. Sh. Akhatov, N. K. Vakhitova, “Forced oscillations of a gas bubble in a spherical volume of a compressible liquid”, Prikl. Mekh. Tekh. Fiz., 40:2 (1999),  111–118  mathnet; J. Appl. Mech. Tech. Phys., 40:2 (1999), 285–291 3
1998
14. R. I. Nigmatulin, V. Sh. Shagapov, G. Y. Galeeva, “Forced nonlinear oscillations of a gas bubble in a large spherical flask (resonator) filled with a fluid”, Prikl. Mekh. Tekh. Fiz., 39:5 (1998),  77–87  mathnet; J. Appl. Mech. Tech. Phys., 39:5 (1998), 719–728
15. R. I. Nigmatulin, V. Sh. Shagapov, V. R. Syrtlanov, “Self-similar problem of decomposition of gas hydrates in a porous medium upon depression and heating”, Prikl. Mekh. Tekh. Fiz., 39:3 (1998),  111–118  mathnet; J. Appl. Mech. Tech. Phys., 39:3 (1998), 421–427 22
1996
16. R. I. Nigmatulin, I. Sh. Akhatov, N. K. Vakhitova, “On the compressibility of a fluid in the dynamics of a gas bubble”, Dokl. Akad. Nauk, 348:6 (1996),  768–771  mathnet  mathscinet; Dokl. Math., 41:6 (1996), 276–279 2
17. R. I. Nigmatulin, D. A. Gubaidullin, “Phase Transformation Influence in Acoustics of Polydispersive Fogs”, Dokl. Akad. Nauk, 347:3 (1996),  330–333  mathnet 2
18. R. I. Nigmatulin, A. A. Gubaidullin, A. T. Akhmetov, S. A. Bekishev, E. N. Mikhailov, “Experimental and theoretical modelling of the effect of anomalous amplification of shock waves in highly viscous liquids”, Dokl. Akad. Nauk, 346:1 (1996),  46–50  mathnet
1995
19. R. I. Nigmatulin, V. Sh. Shagapov, N. K. Vakhitova, R. T. Lahey, Jr., “A method of ultrahigh compression of gas bubbles in a liquid by the nonperiodic vibrational action of pressure of moderate magnitude”, Dokl. Akad. Nauk, 341:1 (1995),  37–41  mathnet  zmath 1
1991
20. R. I. Nigmatulin, A. I. Ivandaev, D. A. Gubaidullin, “Effect of non-monotone dependence of sound attenuation on the concentration of droplets”, Dokl. Akad. Nauk SSSR, 316:3 (1991),  601–605  mathnet 6
1990
21. Yu. M. Davydov, I. Kh. Enikeev, R. I. Nigmatulin, “Calculation of the flow of a gas with particles past bluff bodies with allowance for the effect of reflected particles on the flow of the aerosol”, Prikl. Mekh. Tekh. Fiz., 31:6 (1990),  67–74  mathnet; J. Appl. Mech. Tech. Phys., 31:6 (1990), 860–867 4
22. A. A. Kislitsyn, R. I. Nigmatulin, “Numerical modeling of the process of heating a petroleum stratum by means of high-frequency electromagnetic radiation”, Prikl. Mekh. Tekh. Fiz., 31:4 (1990),  59–64  mathnet; J. Appl. Mech. Tech. Phys., 31:4 (1990), 562–567 5
1989
23. R. I. Nigmatulin, N. S. Khabeev, V. Sh. Shagapov, “Anomalous influence of composition in the acoustics of boiling solutions”, Dokl. Akad. Nauk SSSR, 304:6 (1989),  1323–1328  mathnet  zmath
24. R. I. Nigmatulin, V. Sh. Shagapov, N. K. Vakhitova, “Effect of the compressibility of the carrier phase in wave propagation in a bubble medium”, Dokl. Akad. Nauk SSSR, 304:5 (1989),  1077–1081  mathnet  zmath 15
25. N. Kh. Afgan, R. I. Nigmatulin, N. S. Khabeev, F. B. Nagiev, “Dynamics of vapor bubbles in solutions”, TVT, 27:3 (1989),  528–533  mathnet; High Temperature, 27:3 (1989), 416–421  isi
1988
26. T. R. Amanbaev, A. I. Ivandaev, R. I. Nigmatulin, “Method of calculating the flow of a vapor-drop mixture about bodies in the presence of fragmentation and vaporization effects”, Prikl. Mekh. Tekh. Fiz., 29:6 (1988),  126–133  mathnet; J. Appl. Mech. Tech. Phys., 29:6 (1988), 882–888
27. N. A. Akhmetova, R. I. Nigmatulin, “Numerical investigation of shock wave flow initiated by impulsive irradiation in a metal”, Prikl. Mekh. Tekh. Fiz., 29:5 (1988),  141–145  mathnet; J. Appl. Mech. Tech. Phys., 29:5 (1988), 731–735
1987
28. A. T. Akhmetov, R. I. Nigmatulin, K. M. Fedorov, “On the mechanism of oil displacement from a porous medium by micellar solutions”, Dokl. Akad. Nauk SSSR, 293:3 (1987),  558–562  mathnet 1
29. P. B. Vainshtein, Yu. A. Morgunov, R. I. Nigmatulin, “Convective combustion of aerosuspension of a unitary fuel in a bounded region”, Fizika Goreniya i Vzryva, 23:4 (1987),  20–26  mathnet; Combustion, Explosion and Shock Waves, 23:4 (1987), 393–398
1986
30. R. I. Nigmatulin, V. A. Pyzh, “Enhancement of shock waves in an aqueous suspension of kaolin particles”, Dokl. Akad. Nauk SSSR, 286:1 (1986),  70–73  mathnet
1985
31. P. B. Vainshtein, Yu. A. Morgunov, R. I. Nigmatulin, “A planar problem in the burning of an aerosol of a unitary fuel in a closed region”, Prikl. Mekh. Tekh. Fiz., 26:6 (1985),  103–110  mathnet; J. Appl. Mech. Tech. Phys., 26:6 (1985), 851–857
1984
32. A. Kh. Mirzadzhanzade, R. I. Nigmatulin, V. A. Pyzh, “On an anomalous pressure increase under shock loadings of bentonite water suspension”, Dokl. Akad. Nauk SSSR, 278:6 (1984),  1331–1334  mathnet
33. N. Kh. Akhmadeev, N. A. Akhmetova, R. I. Nigmatulin, “Structure of shock-wave flows with phase transitions in iron near a free surface”, Prikl. Mekh. Tekh. Fiz., 25:6 (1984),  113–119  mathnet; J. Appl. Mech. Tech. Phys., 25:6 (1984), 908–914 1
1983
34. N. A. Gumerov, A. I. Ivandaev, R. I. Nigmatulin, “Dispersion and dissipation of acoustic waves in aerosols”, Dokl. Akad. Nauk SSSR, 272:3 (1983),  560–564  mathnet  zmath 3
35. I. Sh. Akhatov, P. B. Vainshtein, R. I. Nigmatulin, “Nonsteady regimes of convective combustion of a porous powder-like propellant”, Dokl. Akad. Nauk SSSR, 271:5 (1983),  1096–1100  mathnet
36. R. I. Nigmatulin, P. B. Vainshtein, I. Sh. Akhatov, “Transition of powdered explosive convective combustion into detonation”, Fizika Goreniya i Vzryva, 19:5 (1983),  93–97  mathnet; Combustion, Explosion and Shock Waves, 19:5 (1983), 618–621 4
1982
37. A. A. Borisov, B. E. Gel'fand, R. I. Nigmatulin, Kh. A. Rakhmatulin, E. I. Timofeev, “Enhancement of shock waves in liquids with vapor- and dissolving gas bubbles”, Dokl. Akad. Nauk SSSR, 263:3 (1982),  594–598  mathnet
38. P. B. Vainshtein, R. I. Nigmatulin, V. V. Popov, “A method of calculation of unsteady flows of gas particles in the presence of heterogeneous chemical reactions”, Zh. Vychisl. Mat. Mat. Fiz., 22:3 (1982),  742–747  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:3 (1982), 258–263 2
1981
39. Yu. M. Davydov, R. I. Nigmatulin, “Analysis of outer heterogeneous flow of a gas containing droplets or particles past blunt bodies”, Dokl. Akad. Nauk SSSR, 259:1 (1981),  57–60  mathnet  zmath 1
40. N. Kh. Akhmadeev, R. I. Nigmatulin, “Modeling of spalling rupture under shock deformation. Analysis of an instantaneous spalling scheme”, Prikl. Mekh. Tekh. Fiz., 22:3 (1981),  120–128  mathnet; J. Appl. Mech. Tech. Phys., 22:3 (1981), 394–400 3
1980
41. R. I. Nigmatulin, M. L. Surguchev, K. M. Fedorov, N. S. Khabeev, V. A. Shevtsov, “Micellar-polymer flooding mathematical simulation”, Dokl. Akad. Nauk SSSR, 255:1 (1980),  52–56  mathnet
42. P. B. Vainshtein, R. I. Nigmatulin, V. V. Popov, “Transition from convective combustion to detonation for an aerocolloidal suspension of a unitary fuel”, Fizika Goreniya i Vzryva, 16:5 (1980),  102–106  mathnet; Combustion, Explosion and Shock Waves, 16:5 (1980), 566–569
1979
43. P. B. Vainshtein, R. I. Nigmatulin, “On homobaric (uniform pressure) flows of suspensions of matter in gas under conditions of physicochemical transformations”, Dokl. Akad. Nauk SSSR, 249:1 (1979),  74–77  mathnet
1978
44. A. A. Gubaidullin, A. I. Ivandaev, R. I. Nigmatulin, “Nonsteady shock waves in gas-liquid mixtures of bubble structure”, Prikl. Mekh. Tekh. Fiz., 19:2 (1978),  78–86  mathnet; J. Appl. Mech. Tech. Phys., 19:2 (1978), 204–210 3
1977
45. R. I. Nigmatulin, R. G. Shagiev, V. Sh. Shagapov, G. G. Valyavin, V. V. Fryazinov, B. I. Nigmatulin, “Mathematical modeling (in hydraulic approximation) of gasliquid flows with chemical reactions and the analysis of crude oil heating process in tube furnaces”, Dokl. Akad. Nauk SSSR, 237:6 (1977),  1311–1314  mathnet
46. B. E. Gel'fand, S. A. Gubin, R. I. Nigmatulin, E. I. Timofeev, “The influence of gas density upon the splitting of bubbles by shock waves”, Dokl. Akad. Nauk SSSR, 235:2 (1977),  292–294  mathnet 1
47. R. I. Nigmatulin, I. H. Rakhmatulina, “Transient heat-mass exchange near a spherical particle”, Prikl. Mekh. Tekh. Fiz., 18:4 (1977),  95–102  mathnet; J. Appl. Mech. Tech. Phys., 18:4 (1977), 509–515
48. A. A. Gubaidullin, A. I. Ivandaev, R. I. Nigmatulin, “A modified “large particle” method for the calculation of nonstationary wave processes in multiphase dispersed media”, Zh. Vychisl. Mat. Mat. Fiz., 17:6 (1977),  1531–1544  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 17:6 (1977), 180–192 16
1976
49. R. I. Nigmatulin, N. N. Holin, “Dislocation kinetics of the superplasticity and creep of metals”, Dokl. Akad. Nauk SSSR, 231:2 (1976),  303–306  mathnet
50. A. A. Gubaidullin, A. I. Ivandaev, R. I. Nigmatulin, “Unsteady waves in a liquid with gas bubbles”, Dokl. Akad. Nauk SSSR, 226:6 (1976),  1299–1302  mathnet
51. N. Kh. Akhmadeev, R. I. Nigmatulin, “Shock waves and phase transitions in iron”, Prikl. Mekh. Tekh. Fiz., 17:5 (1976),  128–135  mathnet; J. Appl. Mech. Tech. Phys., 17:5 (1976), 703–708 3
1974
52. R. I. Nigmatulin, N. S. Khabeev, V. Sh. Shagapov, “Shock waves in a liquid containing gas bubbles”, Dokl. Akad. Nauk SSSR, 214:4 (1974),  779–782  mathnet  zmath
1973
53. R. I. Nigmatulin, N. N. Holin, “Fluidity delay and strengthening in the high-rate deformation of metals”, Dokl. Akad. Nauk SSSR, 209:1 (1973),  58–61  mathnet
54. P. B. Vainshtein, R. I. Nigmatulin, “Theory of flame propagation in a gas and drop mixture”, Prikl. Mekh. Tekh. Fiz., 14:4 (1973),  101–108  mathnet; J. Appl. Mech. Tech. Phys., 14:4 (1973), 520–526
1971
55. P. B. Vainshtein, R. I. Nigmatulin, “Combustion of gas mixtures with particles”, Prikl. Mekh. Tekh. Fiz., 12:4 (1971),  19–33  mathnet; J. Appl. Mech. Tech. Phys., 12:4 (1971), 502–514 3
1970
56. A. I. Ivandaev, R. I. Nigmatulin, “Propagation of weak perturbations in two-phase media with phase transitions”, Prikl. Mekh. Tekh. Fiz., 11:5 (1970),  73–77  mathnet; J. Appl. Mech. Tech. Phys., 11:5 (1970), 773–777
57. R. I. Nigmatulin, “On the Green–Naghdi theory of mixtures”, Prikl. Mekh. Tekh. Fiz., 11:3 (1970),  168  mathnet; J. Appl. Mech. Tech. Phys., 11:3 (1970), 521–522
58. R. I. Nigmatulin, “Model of the motion and shock waves in two-phase solids with phase transitions”, Prikl. Mekh. Tekh. Fiz., 11:1 (1970),  88–95  mathnet; J. Appl. Mech. Tech. Phys., 11:1 (1970), 86–93
2023
59. V. V. Aleksandrov, D. V. Georgievskii, V. P. Karlikov, S. S. Lemak, G. V. Moskvitin, R. I. Nigmatulin, V. A. Sadovnichii, S. L. Tolokonnikov, V. N. Chubarikov, A. I. Shafarevich, V. Ya. Shkadov, “To hundred anniversary of Viktor Vasil’evich Moskvitin”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 5,  70–71  mathnet  elib
2022
60. A. G. Aganbegyan, A. I. Vainshtein, G. I. Dudnikova, V. E. Zakharov, L. M. Zelenyi, E. A. Kuznetsov, A. G. Litvak, R. I. Nigmatulin, D. D. Ryutov, A. N. Skrinsky, R. A. Sunyaev, M. P. Fedoruk, “Roald Zinnurovich Sagdeev (on his 90th birthday)”, UFN, 192:12 (2022),  1413–1414  mathnet; Phys. Usp., 65:12 (2022), 1317–1319  isi
61. V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, O. S. Dudakova, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, M. D. Kovalev, V. V. Kozlov, R. M. Kolpakov, V. V. Kochergin, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, N. P. Red'kin, V. A. Sadovnichii, I. N. Sergeev, A. T. Fomenko, A. V. Chashkin, V. N. Chubarikov, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “90 years since the birthday of Academician Oleg Borisovich Lupanov (02.06.1932 – 03.05.2006)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 3,  3–5  mathnet
2021
62. Yu. Yu. Balega, G. A. Zherebtsov, Yu. N. Kul'chin, V. V. Kveder, A. V. Latyshev, A. G. Litvak, V. A. Matveev, G. A. Mesyats, R. I. Nigmatulin, N. A. Ratakhin, A. M. Sergeev, A.M. Shalagin, “Sergei Nikolaevich Bagayev (on his 80th birthday)”, UFN, 191:10 (2021),  1123–1124  mathnet; Phys. Usp., 64:10 (2021), 1063–1064  isi
63. V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, V. V. Kozlov, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, O. V. Popov, V. A. Sadovnichii, I. N. Sergeev, G. V. Fedorov, A. T. Fomenko, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “To 70-th anniversary of professor V. N. Chubarikov”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 5,  69–71  mathnet
2014
64. R. I. Nigmatulin, Yu. A. Dem'yanov, N. N. Smirnov, A. V. Zvyagin, A. B. Kiselev, V. L. Kovalev, B. P. Rybakin, V. M. Gendugov, S. V. Guvernyuk, V. K. Dushin, V. P. Kolpakov, V. L. Natyaganov, Yu. G. Filippov, “Artur Yakovlevich Sagomonyan centenary (1914–2001)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 6,  69–70  mathnet
1980
65. N. V. Krylov, M. V. Safonov, V. P. Maslov, L. A. Bunimovich, Ya. G. Sinai, S. M. Kozlov, V. E. Zakharov, A. G. Aslanyan, D. G. Vasil'ev, V. B. Lidskii, R. I. Nigmatulin, V. M. Petkov, “Sessions of the Petrovskii Seminar on differential equations and problems of mathematical physics”, Uspekhi Mat. Nauk, 35:2(212) (1980),  251–256  mathnet 21

Presentations in Math-Net.Ru
1. Термоядерные акты при схлопывании паровых пузырьков в дейтерированных углеводородных жидкостях
R. I. Nigmatulin
The Fifth International Conference "Supercomputer Technologies of Mathematical Modelling"
June 27, 2022 10:40   
2. Multiscale phenomena, asymptotics and thermonuclear fusion in cavitatrd bubbles
R. I. Nigmatulin
International conference "Turbulence and Wave Processes" dedicated to the centenary of Mikhail D. Millionshchikov
November 27, 2013 09:00   
3. Thirteen theorems on necessary conditions for economic growth
R. I. Nigmatulin
Steklov Mathematical Institute Seminar
April 15, 2010 16:00

Organisations