RSS feeds
РусскийEnglish
Issue 4, 2024
Volume year page
Issues Authors PACS Subscription For authors

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 (76) ↓ Similar articles (20)

  1. Gurbatov S N, Demin I Yu, Spivak A E Wave Motion 128 103285 (2024)
  2. Gámez-Marín M, Santos-Santos I et al ApJ 965 154 (2024)
  3. Rykov Yu G Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya 88 96 (2024)
  4. Rykov Yu G Izv. Math. 88 284 (2024)
  5. Zakharov S V Funktsional’nyi Analiz Ego Prilozheniya 57 60 (2023)
  6. Gurbatov S N Radiophys Quantum El 66 333 (2023)
  7. Agarwal A, Kulkarni M, O’Dell D H J Phys. Rev. A 108 (1) (2023)
  8. Zakharov S V Funct Anal Its Appl 57 314 (2023)
  9. Klyushnev N V, Rykov Yu G Žurnal Vyčislitelʹnoj Matematiki I Matematičeskoj Fiziki 63 639 (2023)
  10. Klyushnev N V, Rykov Yu G Comput. Math. And Math. Phys. 63 606 (2023)
  11. Rykov Yu G Russian Math. Surveys 78 779 (2023)
  12. Cirilo L D Ju EPL 139 42001 (2022)
  13. Agafontsev D S, Kuznetsov E A et al Phys.-Usp. 65 189 (2022)
  14. Obreja A, Buck T, Macciò A V A&A 657 A15 (2022)
  15. 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
  16. Aptekarev A I, Rykov Yu G Math Notes 112 495 (2022)
  17. Hynd R Math. Z. 301 2155 (2022)
  18. Gliklikh Yu, Shamarova E Applicable Analysis 101 471 (2022)
  19. Li Y-Zh Int. J. Mod. Phys. D 31 (07) (2022)
  20. Flandoli F, Gess B, Grotto F Stoch. Dyn. 22 (07) (2022)
  21. Aptekarev A I, Rykov Yu G Matematicheskie Zametki 112 486 (2022)
  22. Bartelmann M, Dombrowski J et al SciPost Phys. 10 (6) (2021)
  23. Yang J L, Abbas G Advances In Astronomy 2021 1 (2021)
  24. Hameeda M, Pourhassan B et al Eur. Phys. J. C 81 (2) (2021)
  25. Heller E J, Fleischmann R, Kramer T 74 44 (2021)
  26. Gaite J Symmetry 12 597 (2020)
  27. Yang J L, Abbas G Advances In Astronomy 2020 1 (2020)
  28. Hynd R Trans. Amer. Math. Soc. 373 6777 (2020)
  29. Gurbatov S, Pelinovsky E Phys. Rev. E 102 (1) (2020)
  30. Bartelmann M, Kozlikin E et al Annalen Der Physik 531 (11) (2019)
  31. Joseph K T, Sandeep K Indian J Pure Appl Math 50 681 (2019)
  32. Gurbatov S, Deryabin M et al Journal Of Sound And Vibration 439 208 (2019)
  33. Hynd R SIAM J. Math. Anal. 51 3769 (2019)
  34. Gaite J Advances In Astronomy 2019 1 (2019)
  35. Gurbatov S, Pelinovsky E Nat. Hazards Earth Syst. Sci. 19 1925 (2019)
  36. Aptekarev A I, Rykov Yu G Russ. Math. Surv. 74 1117 (2019)
  37. Aptekarev A I, Rykov Yu G Dokl. Math. 99 79 (2019)
  38. Feldbrugge J, de Weygaert Rien van et al J. Cosmol. Astropart. Phys. 2018 027 (2018)
  39. Neyrinck M C, Hidding J et al R. Soc. Open Sci. 5 171582 (2018)
  40. Efimov V B Uspekhi Fizicheskikh Nauk 188 (10) (2018)
  41. Rykov Yu G KIAM Prepr. (80) 1 (2018)
  42. Gaite J J. Cosmol. Astropart. Phys. 2018 010 (2018)
  43. Zakharov S V Theor Math Phys 196 976 (2018)
  44. Gao Yu, Liu J-G SIAM J. Math. Anal. 49 1267 (2017)
  45. Banerjee S, Kritsuk A G Phys. Rev. E 96 (5) (2017)
  46. Clavin P Combustion Science And Technology 189 747 (2017)
  47. Shandarin S F, Medvedev M V 468 4056 (2017)
  48. Kopp M, Vattis K, Skordis C Phys. Rev. D 96 (12) (2017)
  49. Melkikh A V, Melkikh E A Mod. Phys. Lett. B 31 1750272 (2017)
  50. Zasov A V, Saburova A S et al Uspekhi Fizicheskikh Nauk 187 3 (2017)
  51. Zybin K P, Il’yn A S Uspekhi Fizicheskikh Nauk 186 1349 (2016)
  52. Klyatskin V I Uspekhi Fizicheskikh Nauk 186 75 (2016)
  53. Klebanov I, Startsun O, Ivanov S Communications In Nonlinear Science And Numerical Simulation 39 248 (2016)
  54. Chicone C, Mashhoon B 57 (7) (2016)
  55. Domínguez-Tenreiro R, Obreja A et al ApJ 800 L30 (2015)
  56. Denet B, Biamino L et al Combustion Science And Technology 187 296 (2015)
  57. Rudenko O V, Hedberg C M Dokl. Math. 91 232 (2015)
  58. Gaite J J. Phys.: Conf. Ser. 574 012040 (2015)
  59. Gurbatov S N, Rudenko O V Radiophys Quantum El 58 463 (2015)
  60. Gaite J J. Cosmol. Astropart. Phys. 2015 020 (2015)
  61. Meierovich B E Journal Of Gravity 2014 1 (2014)
  62. Shandarin S F Proc. IAU 11 3 (2014)
  63. Lasukov V V, Lasukova T V et al Russ Phys J 57 490 (2014)
  64. Solomon S, Golo N Entropy 16 1687 (2014)
  65. Kurt V G, Shakhvorostova N N Uspekhi Fizicheskikh Nauk 184 423 (2014) [Kurt V G, Shakhvorostova N N Phys.-Usp. 57 389 (2014)]
  66. Berezinsky V S, Dokuchaev V I, Eroshenko Yu N Uspekhi Fizicheskikh Nauk 184 3 (2014) [Berezinsky V S, Dokuchaev V I, Eroshenko Yu N Phys.-Usp. 57 1 (2014)]
  67. Hidding J, Shandarin S F, van de Weygaert Rien 437 3442 (2014)
  68. Solomon S, Golo N SSRN Journal (2014)
  69. Domínguez-Tenreiro R, Obreja A et al Proc. IAU 11 398 (2014)
  70. Choudhury A P, Joseph K T, Sahoo M R J. Hyper. Differential Equations 11 269 (2014)
  71. White M 439 3630 (2014)
  72. Nadkarni-Ghosh Sh, Chernoff D F 431 799 (2013)
  73. Escudero C J. Phys. A: Math. Theor. 46 355403 (2013)
  74. Ascasibar Ya, Granero-Belinchón R, Moreno J M Physica D: Nonlinear Phenomena 262 71 (2013)
  75. Gaite J Galaxies 1 31 (2013)
  76. Semenov V A Astron. Rep. 57 485 (2013)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions