Issues

 / 

1986

 / 

November

  

Reviews of topical problems


Negative energy waves in hydrodynamics

,  a,
a N.N. Andreev Acoustics Institute, Russian Academy of Sciences, ul. Shvernika 4, Moscow, 117036, Russian Federation

The utility of the concept of negative energy waves (NEW) in hydrodynamics is discussed. Examples are given of the excitation of waves by flow past elastic membranes, and of the amplification and generation of capillary-gravity and internal waves in liquids in the presence of vertically inhomogeneous flows. The concepts of ``linear'' and ``nonlinear'' energy are introduced, and it is shown that energy defined as the first integral of the equations of motion linearized against the flow background can be negative, whereas the inclusion of all the quadratic terms in the expression for the energy can give a positive value. Nonlinear processes associated with NEW are also discussed, as is the radiation instability of oscillators in hydrodynamics. The review is largely based on the authors' own work.

PACS: 47.35.Bb, 47.35.Pq, 47.20.Ky (all)
DOI: 10.1070/PU1986v029n11ABEH003538
URL: https://ufn.ru/en/articles/1986/11/b/
Citation: Ostrovskii L A, Rybak S A, Tsimring L Sh "Negative energy waves in hydrodynamics" Sov. Phys. Usp. 29 1040–1052 (1986)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Островский Л А, Рыбак С А, Цимринг Л Ш «Волны отрицательной энергии в гидродинамике» УФН 150 417–437 (1986); DOI: 10.3367/UFNr.0150.198611b.0417

Cited by (65) ↓ Similar articles (20)

  1. Negi P, Sahoo T et al Mathematics 11 3399 (2023)
  2. Zakaria K, Gamiel Ya 35 (10) (2023)
  3. Borodikhin V N Laser Phys. 33 046002 (2023)
  4. Churilov S M Izv. Atmos. Ocean. Phys. 58 254 (2022)
  5. Abd-Elzaher M, Atteya A Sci Rep 12 (1) (2022)
  6. Kim S, Kim K 34 (12) (2022)
  7. Boral S, Sahoo T, Stepanyants Yu Symmetry 13 651 (2021)
  8. Ruderman M S, Petrukhin N S Sol Phys 296 (6) (2021)
  9. Boral S, Sahoo T, Stepanyants Yu Fluids 6 458 (2021)
  10. Das S, Saha S 33 (11) (2021)
  11. Kozlov D S, Troitskaya Yu I Izv. Atmos. Ocean. Phys. 57 180 (2021)
  12. Bahari K, Petrukhin N S, Ruderman M S 496 67 (2020)
  13. Tsimring L Sh Radiophys Quantum El 63 73 (2020)
  14. Yu D J, Nakariakov V M ApJ 896 21 (2020)
  15. Labarbe J, Kirillov O N J. Fluid Mech. 901 (2020)
  16. Cortez M F, Jarrín O Nonlinear Analysis 187 365 (2019)
  17. Faccio D, Wright E  M Phys. Rev. Lett. 123 (4) (2019)
  18. Kirillov O N CISM International Centre For Mechanical Sciences Vol. Dynamic Stability and Bifurcation in Nonconservative MechanicsClassical Results and Modern Approaches to Nonconservative Stability586 Chapter 4 (2019) p. 129
  19. Preobrazhensky V L, Aleshin V V, Pernod P Wave Motion 81 15 (2018)
  20. Ruderman M S J. Plasma Phys. 84 (1) (2018)
  21. Ryutova M Astrophysics And Space Science Library Vol. Physics of Magnetic Flux TubesMoving Magnetic Features (MMFs)455 Chapter 11 (2018) p. 287
  22. Ryutova M Astrophysics And Space Science Library Vol. Physics of Magnetic Flux TubesFlux Tube Dynamics in the Presence of Mass Flows455 Chapter 5 (2018) p. 107
  23. Preobrazhensky V, Aleshin V, Pernod P Phys. Wave Phen. 26 234 (2018)
  24. Das S, Kar P et al 30 (10) (2018)
  25. Belyaev M A ApJ 835 238 (2017)
  26. Kirillov O N Proc. R. Soc. A. 473 20170344 (2017)
  27. Maïssa P, Rousseaux G, Stepanyants Yu European Journal Of Mechanics - B/Fluids 56 192 (2016)
  28. Maïssa P, Rousseaux G, Stepanyants Yu 28 (3) (2016)
  29. Ryutova M Astrophysics And Space Science Library Vol. Physics of Magnetic Flux TubesMoving Magnetic Features (MMFs)417 Chapter 11 (2015) p. 267
  30. Ryutova M Astrophysics And Space Science Library Vol. Physics of Magnetic Flux TubesFlux Tube Dynamics in the Presence of Mass Flows417 Chapter 5 (2015) p. 99
  31. Kirillov O N Phil. Trans. R. Soc. A. 371 20120051 (2013)
  32. Preobrazhensky V, Yevstafyev O et al Phys. Wave Phen. 20 256 (2012)
  33. Bustamante M D, Kartashova E Commun. Comput. Phys. 10 1211 (2011)
  34. Ruderman M S, Belov N A J. Phys.: Conf. Ser. 216 012016 (2010)
  35. Khalzov I V, Smolyakov A I, Ilgisonis V I 15 (5) (2008)
  36. Preobrazhensky V, Matar O B, Pernod P Phys. Rev. E 78 (4) (2008)
  37. Berezovsky V V, Men’shikov L I et al Plasma Phys. Rep. 34 555 (2008)
  38. Bridges T J, Dias F 19 (10) (2007)
  39. Kirtskhalia V G, Rukhadze A A Tech. Phys. 52 1117 (2007)
  40. Rybak S A, Solntseva V S Acoust. Phys. 52 739 (2006)
  41. Brazhe R A, Shustov M I Tech. Phys. 49 1086 (2004)
  42. Vilkov E A, Shavrov V G, Shevyakhov N S Tech. Phys. 48 354 (2003)
  43. Zhugzhda Y D Astronomical & Astrophysical Transactions 22 593 (2003)
  44. FENG BAO-FENG, KAWAHARA TAKUJI Int. J. Bifurcation Chaos 12 2393 (2002)
  45. Tarbell T D, Ryutova M, Shine R Physics of the Solar Corona and Transition Region Chapter 13 (2001) p. 195
  46. Aranson I, Steinberg V Lecture Notes In Physics Vol. Quantized Vortex Dynamics and Superfluid TurbulenceGinzburg-Landau Description of Vortex Nucleation in a Rotating Superfluid571 Chapter 26 (2001) p. 276
  47. Andries J, Tirry W J, Goossens M ApJ 531 561 (2000)
  48. Feng B-F, Kawahara T Physica D: Nonlinear Phenomena 137 237 (2000)
  49. Brazhe R A, Novikova T A Tech. Phys. 44 869 (1999)
  50. Brazhe R A, Meftahutdinov R M, Novikova T A Radiophys Quantum Electron 42 974 (1999)
  51. Ryutova M, Shine R et al ApJ 492 402 (1998)
  52. Ruderman M S, Wright A N J. Geophys. Res. 103 26573 (1998)
  53. Yadykin Y, Levin D et al 14th Aerodynamic Decelerator Systems Technology Conference, (1997)
  54. Aranson I, Steinberg V Phys. Rev. B 53 75 (1996)
  55. Hoperskov A V Radiophys Quantum Electron 39 591 (1996)
  56. Sugimoto N AIAA Journal 34 2005 (1996)
  57. Hunter J K Surveys in Applied Mathematics Chapter 3 (1995) p. 167
  58. Becker Ja M, Grimshaw R H J J. Fluid Mech. 257 219 (1993)
  59. Phil. Trans. R. Soc. Lond. A 335 557 (1991)
  60. Ostrovskiĭ L A, Soustova I A 1 224 (1991)
  61. Ametov I M, Akhatov I Sh, Baikov V A Journal Of Applied Mathematics And Mechanics 55 673 (1991)
  62. Subaev I U, Khansanov M M Journal Of Engineering Physics 59 1596 (1990)
  63. Ryutova M P Solar Photosphere: Structure, Convection, and Magnetic Fields Chapter 24 (1990) p. 229
  64. Ryutova M P Symp. - Int. Astron. Union 138 229 (1990)
  65. Zheleznyakov V V, Kocharovsky V V, Kocharovsky V V Nonlinear Waves Research Reports In Physics Chapter 13 (1989) p. 136

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions