Issues

 / 

2012

 / 

March

  

Reviews of topical problems


Large-scale structure of the Universe. The Zeldovich approximation and the adhesion model

 a,  a,  b
a Department of Radiophysics, Lobachevsky Nizhny Novgorod State University, prosp. Gagarina 23, Nizhny Novgorod, 603950, Russian Federation
b Department of Physics and Astronomy, University of Kansas, Lawrence, USA

A semianalytic formation model for the large-scale structure of the Universe (from a few to hundreds of megaparsecs) is discussed. The model is a natural generalization of Zeldovich’s 1970 approximation and is mathematically based on the Burgers equation for low or even vanishing viscosity. It offers a natural explanation of the galaxy distribution that is observed in the scale range mentioned above and is reminiscent in its shape of a 3D mosaic or a giant cosmic web. Many predictions of the model have been confirmed by modern observations. New theoretical results related to the Burgers model are discussed together with their applications to cosmology.

Fulltext pdf (4.1 MB)
Fulltext is also available at DOI: 10.3367/UFNe.0182.201203a.0233
PACS: 95.35.+d, 95.36.+x, 98.65.−r (all)
DOI: 10.3367/UFNe.0182.201203a.0233
URL: https://ufn.ru/en/articles/2012/3/b/
000305464600001
2-s2.0-84863449582
2012PhyU...55..223G
Citation: Gurbatov S N, Saichev A I, Shandarin S F "Large-scale structure of the Universe. The Zeldovich approximation and the adhesion model" Phys. Usp. 55 223–249 (2012)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 29th, April 2011, revised: 26th, September 2011, 4th, October 2011

Оригинал: Гурбатов С Н, Саичев А И, Шандарин С Ф «Крупномасштабная структура Вселенной. Приближение Зельдовича и модель слипания» УФН 182 233–261 (2012); DOI: 10.3367/UFNr.0182.201203a.0233

References (124) Cited by (89) ↓ Similar articles (20)

  1. Robles S, Domínguez-Tenreiro R, Pedrosa S E Monthly Notices of the Royal Astronomical Society 546 (4) (2026)
  2. Lugomer S Phys. Scr. 101 (14) 145002 (2026)
  3. Das A, Joseph K T Inverse Problems, Regularization Methods and Related Topics Industrial And Applied Mathematics Chapter 11 (2025) p. 239
  4. Kalashnikov I Yu, Chechetkin V M Phys. Rev. E 111 (5) (2025)
  5. Rykov Yu G Lobachevskii J Math 46 (9) 4728 (2025)
  6. Bressan A, Chen G, Huang Sh Sci. China Math. 68 (3) 559 (2025)
  7. Rudenko O V Uspekhi Fizicheskikh Nauk 195 (12) 1268 (2025) [Rudenko O V Phys. Usp. 68 (12) 1199 (2025)]
  8. Bressan A, Chen G, Huang Sh Commun. Math. Phys. 406 (12) (2025)
  9. Aptekarev A I, Kalashnikov I Yu et al Astron. Rep. 69 (11) 1039 (2025)
  10. Kolokolov I V, Lebedev V V Uspekhi Fizicheskikh Nauk 195 (11) 1179 (2025)
  11. Liu J-G, Pego R L Pure Appl. Analysis 7 (4) 927 (2025)
  12. Rykov Yu G Izv. Math. 88 (2) 284 (2024)
  13. Rykov Yu G Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya 88 (2) 96 (2024)
  14. Gurbatov S N, Demin I Yu, Spivak A E Wave Motion 128 103285 (2024)
  15. Gámez-Marín M, Santos-Santos I et al ApJ 965 (2) 154 (2024)
  16. Das A, Joseph K T Acta Math Sci 44 (5) 1801 (2024)
  17. Gurbatov S N Radiophys Quantum El 66 (5-6) 333 (2023)
  18. Klyushnev N V, Rykov Yu G Žurnal Vyčislitelʹnoj Matematiki I Matematičeskoj Fiziki 63 (4) 639 (2023) [Klyushnev N V, Rykov Yu G Comput. Math. And Math. Phys. 63 (4) 606 (2023)]
  19. Zakharov S V Funct Anal Its Appl 57 (4) 314 (2023)
  20. Rykov Yu G Russian Math. Surveys 78 (4) 779 (2023)
  21. Agarwal A, Kulkarni M, O’Dell D H J Phys. Rev. A 108 (1) (2023)
  22. Zakharov S V Funktsional’nyi Analiz Ego Prilozheniya 57 (4) 60 (2023)
  23. Cirilo L D Ju EPL 139 (4) 42001 (2022)
  24. Gliklikh Yu, Shamarova E Applicable Analysis 101 (2) 471 (2022)
  25. Agafontsev D S, Kuznetsov E A et al Phys.-Usp. 65 (2) 189 (2022)
  26. Li Y-Zh Int. J. Mod. Phys. D 31 (07) (2022)
  27. Hynd R Math. Z. 301 (2) 2155 (2022)
  28. Aptekarev A I, Rykov Yu G Math Notes 112 (3-4) 495 (2022)
  29. Spivak A E, Gurbatov S N, Demin I Yu Communications In Computer And Information Science Vol. Mathematical Modeling and Supercomputer TechnologiesSolutions of Multidimensional Hydrodynamic Evolution Equations Using the Fast Legendre Transformation1750 Chapter 8 (2022) p. 95
  30. Flandoli F, Gess B, Grotto F Stoch. Dyn. 22 (07) (2022)
  31. Aptekarev A I, Rykov Yu G Matematicheskie Zametki 112 (4) 486 (2022)
  32. Obreja A, Buck T, Macciò A V A&A 657 A15 (2022)
  33. Yang J L, Abbas G Advances In Astronomy 2021 1 (2021)
  34. Bartelmann M, Dombrowski J et al SciPost Phys. 10 (6) (2021)
  35. Hameeda M, Pourhassan B et al Eur. Phys. J. C 81 (2) (2021)
  36. Heller E J, Fleischmann R, Kramer T Physics Today 74 (12) 44 (2021)
  37. Yang J L, Abbas G Advances In Astronomy 2020 1 (2020)
  38. Gurbatov S N, Pelinovsky E N Dokl. Phys. 65 (8) 269 (2020)
  39. Hynd R Trans. Amer. Math. Soc. 373 (10) 6777 (2020)
  40. Gurbatov S, Pelinovsky E Phys. Rev. E 102 (1) (2020)
  41. Gaite J Symmetry 12 (4) 597 (2020)
  42. Gurbatov S, Deryabin M et al Journal Of Sound And Vibration 439 208 (2019)
  43. Aptekarev A I, Rykov Yu G Dokl. Math. 99 (1) 79 (2019)
  44. Hynd R SIAM J. Math. Anal. 51 (5) 3769 (2019)
  45. Gaite J Advances In Astronomy 2019 1 (2019)
  46. Joseph K T, Sandeep K Indian J Pure Appl Math 50 (3) 681 (2019)
  47. Gurbatov S, Pelinovsky E Nat. Hazards Earth Syst. Sci. 19 (9) 1925 (2019)
  48. Aptekarev A I, Rykov Yu G Russ. Math. Surv. 74 (6) 1117 (2019)
  49. Bartelmann M, Kozlikin E et al Annalen Der Physik 531 (11) (2019)
  50. Efimov V B Uspekhi Fizicheskikh Nauk 188 (10) (2018)
  51. Rykov Yu G KIAM Prepr. (80) 1 (2018)
  52. Efimov V B Phys.-Usp. 61 (10) 929 (2018)
  53. Feldbrugge J, de Weygaert Rien van et al J. Cosmol. Astropart. Phys. 2018 (05) 027 (2018)
  54. Neyrinck M C, Hidding J et al R. Soc. Open Sci. 5 (4) 171582 (2018)
  55. Gaite J J. Cosmol. Astropart. Phys. 2018 (07) 010 (2018)
  56. Zakharov S V Theor Math Phys 196 (1) 976 (2018)
  57. Kopp M, Vattis K, Skordis C Phys. Rev. D 96 (12) (2017)
  58. Melkikh A V, Melkikh E A Mod. Phys. Lett. B 31 (29) 1750272 (2017)
  59. Banerjee S, Kritsuk A G Phys. Rev. E 96 (5) (2017)
  60. Shandarin S F, Medvedev M V Monthly Notices of the Royal Astronomical Society 468 (4) 4056 (2017)
  61. Clavin P Combustion Science And Technology 189 (5) 747 (2017)
  62. Zasov A V, Saburova A S et al Uspekhi Fizicheskikh Nauk 187 (1) 3 (2017) [Zasov A V, Saburova A S et al Phys.-Usp. 60 (1) 3 (2017)]
  63. Gao Yu, Liu J-G SIAM J. Math. Anal. 49 (2) 1267 (2017)
  64. Klyatskin V I Uspekhi Fizicheskikh Nauk 186 (1) 75 (2016)
  65. Zybin K P, Il’yn A S Uspekhi Fizicheskikh Nauk 186 (12) 1349 (2016) [Zybin K P, Il’yn A S Phys.-Usp. 59 (12) 1241 (2016)]
  66. Klebanov I, Startsun O, Ivanov S Communications In Nonlinear Science And Numerical Simulation 39 248 (2016)
  67. Chicone C, Mashhoon B Journal of Mathematical Physics 57 (7) (2016)
  68. Domínguez-Tenreiro R, Obreja A et al ApJ 800 (2) L30 (2015)
  69. Gaite J J. Phys.: Conf. Ser. 574 012040 (2015)
  70. Denet B, Biamino L et al Combustion Science And Technology 187 (1-2) 296 (2015)
  71. Gurbatov S N, Rudenko O V Radiophys Quantum El 58 (7) 463 (2015)
  72. Gaite J J. Cosmol. Astropart. Phys. 2015 (04) 020 (2015)
  73. Rudenko O V, Hedberg C M Dokl. Math. 91 (2) 232 (2015)
  74. Lasukov V V, Lasukova T V et al Russ Phys J 57 (4) 490 (2014)
  75. Shandarin S F Proc. IAU 11 (S308) 3 (2014)
  76. Meierovich B E Journal Of Gravity 2014 1 (2014)
  77. Berezinsky V S, Dokuchaev V I, Eroshenko Yu N Uspekhi Fizicheskikh Nauk 184 (1) 3 (2014) [Berezinsky V S, Dokuchaev V I, Eroshenko Yu N Phys.-Usp. 57 (1) 1 (2014)]
  78. Kurt V G, Shakhvorostova N N Uspekhi Fizicheskikh Nauk 184 (4) 423 (2014) [Kurt V G, Shakhvorostova N N Phys.-Usp. 57 (4) 389 (2014)]
  79. Solomon S, Golo N SSRN Journal (2014)
  80. Solomon S, Golo N Entropy 16 (3) 1687 (2014)
  81. Choudhury A P, Joseph K T, Sahoo M R J. Hyper. Differential Equations 11 (02) 269 (2014)
  82. Hidding J, Shandarin S F, van de Weygaert Rien Monthly Notices of the Royal Astronomical Society 437 (4) 3442 (2014)
  83. White M Monthly Notices of the Royal Astronomical Society 439 (4) 3630 (2014)
  84. Domínguez-Tenreiro R, Obreja A et al Proc. IAU 11 (S308) 398 (2014)
  85. Escudero C J. Phys. A: Math. Theor. 46 (35) 355403 (2013)
  86. Ascasibar Ya, Granero-Belinchón R, Moreno J M Physica D: Nonlinear Phenomena 262 71 (2013)
  87. Semenov V A Astron. Rep. 57 (7) 485 (2013)
  88. Gaite J Galaxies 1 (1) 31 (2013)
  89. Nadkarni-Ghosh Sh, Chernoff D F Monthly Notices of the Royal Astronomical Society 431 (1) 799 (2013)

© 1918–2026 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions