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 (87) ↓ Similar articles (20)

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