RSS feeds
ÐóññêèéEnglish
Issue 12, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1991

 / 

March

←  →

Reviews of topical problems


Transport processes and traveling waves in systems with local nonequilibrium


Transport equations are studied for two types of media exhibiting properties of local nonequilibrium: media with thermal memory and media with a discrete structure. A hyperbolic transport equation that is a special case of these local-nonequilibrium equations is used for the analysis of traveling waves having high velocities. These waves have certain important properties: there can be a temperature discontinuity at the wave front; there exist thermal shock waves; the temperature at the wave front exceeds the equilibrium adiabatic value; there exist stationary autowave regimes in addition to those corresponding to the classical local-equilibrium case, and the velocities of these regimes are bounded by the velocity of propagation of a thermal signal. The approach developed here may be useful for the study of transport processes for short times or high fluxes in systems near critical points, in heterogeneous systems, and in other extremal situations.

Fulltext pdf (808 KB)
Fulltext is also available at DOI: 10.1070/PU1991v034n03ABEH002348
PACS: 05.60.−k, 05.70.Ln (all)
DOI: 10.1070/PU1991v034n03ABEH002348
URL: https://ufn.ru/en/articles/1991/3/b/
Citation: Sobolev S L "Transport processes and traveling waves in systems with local nonequilibrium" Sov. Phys. Usp. 34 (3) 217–229 (1991)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Îðèãèíàë: Ñîáîëåâ Ñ Ë «Ïðîöåññû ïåðåíîñà è áåãóùèå âîëíû â ëîêàëüíî-íåðàâíîâåñíûõ ñèñòåìàõ» ÓÔÍ 161 (3) 5–29 (1991); DOI: 10.3367/UFNr.0161.199103b.0005

References (65) Cited by (123) ↓ Similar articles (20)

  1. Awad E, Dai W, Sobolev S Z. Angew. Math. Phys. 75 (4) (2024)
  2. Sobolev S L Phys. Rev. E 109 (5) (2024)
  3. Xu M Nanoscale And Microscale Thermophysical Engineering 28 114 (2024)
  4. Xu M Phys. Scr. 99 025962 (2024)
  5. Zhmakin A I Non-Fourier Heat Conduction Chapter 1 (2023) p. 1
  6. Formalev V F, Kolesnik S A, Garibyan B A Russ. Engin. Res. 43 1445 (2023)
  7. Povstenko Yu, Ostoja-Starzewski M, Kyrylych T International Journal Of Heat And Mass Transfer 207 124013 (2023)
  8. Kartashov E M Rossijskij Tehnologičeskij žurnal 11 70 (2023)
  9. Kartashov E M, Kartashov E M Matematicheskoe Modelirovanie 35 14 (2023)
  10. Zhmakin A I Non-Fourier Heat Conduction Chapter 2 (2023) p. 39
  11. Rivera I, Salgado-García R, Vázquez F 13 (10) (2023)
  12. Kartashov E M Math Models Comput Simul 15 S86 (2023)
  13. Bora A, Dai W et al International Journal Of Heat And Mass Transfer 190 122791 (2022)
  14. Geiß D, Kroy K, Holubec V Phys. Rev. E 106 (1) (2022)
  15. Formalev V F, Garibyan B A, Orekhov A A Lobachevskii J Math 43 1842 (2022)
  16. Shomali Z, Kovács R et al Continuum Mech. Thermodyn. 34 637 (2022)
  17. SYLVAIN TANKOU TAGNE ALAIN, PATRICE ELE ABIAMA et al Fractals 30 (03) (2022)
  18. Formalev V F, Kolesnik S A High Temp 60 731 (2022)
  19. Kartashov E M, Polyakov S V KIAM Prepr. (100) 1 (2022)
  20. Formalev V F, Kartashov É M, Kolesnik S A J Eng Phys Thermophy 95 366 (2022)
  21. (CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2021 (CEST 2021)) Vol. CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2021 (CEST 2021)Mathematical modeling of local non-equilibrium hydrodynamics in moving liquidsIgor V.KudinovVasiliy K.TkachevAnton V.EreminKonstantin V.Trubitsyn2429 (2021) p. 020019
  22. Li Sh-N, Cao B-Ya International Journal Of Heat And Mass Transfer 173 121225 (2021)
  23. Kostrobij P, Tokarchuk M et al 62 (10) (2021)
  24. Lurie S A, Volkov-Bogorodskiy D B et al Lobachevskii J Math 42 1841 (2021)
  25. Sobolev S L Nanoscale And Microscale Thermophysical Engineering 25 153 (2021)
  26. Jordan P M, Lambers J V Wave Motion 105 102756 (2021)
  27. Lurie S A, Volkov-Bogorodskii D B, Belov P A Mathematics 10 90 (2021)
  28. Sobolev S L, Kudinov I V International Journal Of Thermal Sciences 159 106632 (2021)
  29. Zhmakin A I Tech. Phys. 66 1 (2021)
  30. Mikheeva G V, Pashin A V J. Phys.: Conf. Ser. 2094 022023 (2021)
  31. Bora A, Dai W et al International Journal Of Heat And Mass Transfer 178 121616 (2021)
  32. Lurie S A, Belov P A J Appl Mech Tech Phy 62 828 (2021)
  33. (CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2020 (CEST 2020)) Vol. CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2020 (CEST 2020)Study of the two-temperature heat transfer model in metal nanofilms exposed to ultrashort laser pulsesIgor V.KudinovSergey L.SobolevGalina V.Mikheeva2275 (2020) p. 020015
  34. Belov P A, Lurie S A, Dobryanskiy V N Lobachevskii J Math 41 1949 (2020)
  35. Calvo-Schwarzwälder M, Myers T G, Hennessy M G International Journal Of Thermal Sciences 150 106210 (2020)
  36. Myers T G, Hennessy M G, Calvo-Schwarzwälder M International Journal Of Heat And Mass Transfer 149 118975 (2020)
  37. Lurie S A, Belov P A Continuum Mech. Thermodyn. 32 709 (2020)
  38. Sobolev S L, Kudinov I V 45 209 (2020)
  39. Chevrychkina A A, Bessonov N M, Korzhenevskii A L Phys. Solid State 61 2096 (2019)
  40. Kosmidis K, Dassios G J Pharmacokinet Pharmacodyn 46 165 (2019)
  41. Formalev V F, Kartashov É M, Kolesnik S A J Eng Phys Thermophy 92 1537 (2019)
  42. Zimin B A, Sud’enkov Yu V Tech. Phys. 64 1753 (2019)
  43. Tilles P F C, Petrovskii S V J Stat Phys 177 569 (2019)
  44. Formalev V F, Kolesnik S A High Temp 57 498 (2019)
  45. Konnov A V, Belozerov G A, Dibirasulaev M A Moscow Univ. Phys. 74 302 (2019)
  46. Lurie S, Belov P Advanced Structured Materials Vol. Higher Gradient Materials and Related Generalized ContinuaFrom Generalized Theories of Media with Fields of Defects to Closed Variational Models of the Coupled Gradient Thermoelasticity and Thermal Conductivity120 Chapter 8 (2019) p. 135
  47. Serdyukov S I, Sizova I A et al Pet. Chem. 59 518 (2019)
  48. Formalev V F, Kolesnik S A, Kuznetsova E L High Temp 56 393 (2018)
  49. Puzanov A S, Obolenskiy S V, Kozlov V A Semiconductors 52 1407 (2018)
  50. Sobolev S L International Journal Of Heat And Mass Transfer 122 629 (2018)
  51. Sobolev S L Phys. Rev. E 97 (2) (2018)
  52. Kudinov I V, Kudinov I V Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya «Fiziko-matematicheskie Nauki» 22 116 (2018)
  53. Kudinov V A, Eremin A V et al Russ. Aeronaut. 61 252 (2018)
  54. Lomakin E V, Lurie S A et al Dokl. Phys. 63 503 (2018)
  55. Serdyukov S Entropy 20 802 (2018)
  56. Kudinov V A, Eremin A V et al Combust Explos Shock Waves 54 649 (2018)
  57. Zuev L B, Barannikova S A, Lunev A G Usp. Fiz. Met. 19 379 (2018)
  58. Vysotskii V I, Kornilova A A et al J. Synch. Investig. 11 749 (2017)
  59. Kudinov V A, Eremin A V, Kudinov I V Thermophys. Aeromech. 24 901 (2017)
  60. Sobolev S L Physics Letters A 381 2893 (2017)
  61. Sobolev S L International Journal Of Heat And Mass Transfer 108 933 (2017)
  62. Vitokhin E Yu, Ivanova E A Continuum Mech. Thermodyn. 29 1219 (2017)
  63. Sobolev S L J. Exp. Theor. Phys. 124 459 (2017)
  64. Sobolev S L Acta Materialia 116 212 (2016)
  65. Sobolev S L International Journal Of Heat And Mass Transfer 94 138 (2016)
  66. Eremin A V, Kudinov V A, Kudinov I V Fluid Dyn 51 33 (2016)
  67. Sobolev S L Acta Materialia 93 256 (2015)
  68. SOBOLEV S L Transactions Of Nonferrous Metals Society Of China 25 2797 (2015)
  69. Altshuler B L Phys. Rev. D 92 (6) (2015)
  70. Rasmussen M L, Civan F Applied Mathematical Modelling 39 862 (2015)
  71. Kudinov I V, Kudinov V A J Eng Phys Thermophy 88 406 (2015)
  72. Sobolev S L Materials Science And Technology 31 1607 (2015)
  73. Ivanitskii G R, Deev A A, Khizhnyak E P Uspekhi Fizicheskikh Nauk 184 43 (2014) [Ivanitskii G R, Deev A A, Khizhnyak E P Phys.-Usp. 57 37 (2014)]
  74. Polyanin A D Theor Found Chem Eng 48 167 (2014)
  75. Babenkov M B J Appl Mech Tech Phy 54 277 (2013)
  76. Polyanin A D, Zhurov A I International Journal Of Non-Linear Mechanics 57 116 (2013)
  77. Polyanin A D, Vyazmin A V Theor Found Chem Eng 47 217 (2013)
  78. Polyanin A D, Zhurov A I International Journal Of Non-Linear Mechanics 54 115 (2013)
  79. Sobolev S L Acta Materialia 60 2711 (2012)
  80. SOBOLEV S L Transactions Of Nonferrous Metals Society Of China 22 2749 (2012)
  81. Belov P A, Lurie S A Mech. Solids 47 580 (2012)
  82. Sobolev S L Materials Letters 89 191 (2012)
  83. Formalev V F High Temp 50 744 (2012)
  84. Yakunkin M M Inorg. Mater. Appl. Res. 3 69 (2012)
  85. Holian B L, Mareschal M, Ravelo R Phys. Rev. E 83 (2) (2011)
  86. Babenkov M B J Appl Mech Tech Phy 52 941 (2011)
  87. Bacherikov Yu Yu Phys. Solid State 52 1653 (2010)
  88. Formalev V F, Formalev V F i dr Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya «Fiziko-matematicheskie Nauki» 1(20) 239 (2010)
  89. Liu K-Ch, Lin Ch-N Numerical Heat Transfer, Part A: Applications 58 819 (2010)
  90. Bardzokas D I, Kirichok T A, Filshtinskii L A European Journal Of Mechanics - A/Solids 28 811 (2009)
  91. Indeitsev D A, Naumov V N et al Z Angew Math Mech 89 279 (2009)
  92. Liu K-Ch, Chen H-T International Journal Of Heat And Mass Transfer 52 1185 (2009)
  93. Liu K-Ch International Journal Of Thermal Sciences 47 507 (2008)
  94. Liu K-Ch, Cheng P-Je Journal Of Thermophysics And Heat Transfer 22 775 (2008)
  95. Indeitsev D A, Naumov V N, Semenov B N Mech. Solids 42 672 (2007)
  96. Osipov A I, Shelepin L A, Shelepin S L J Russ Laser Res 26 116 (2005)
  97. Liu K-Ch, Chen H-T Applied Mathematics And Computation 159 887 (2004)
  98. Yakunkin M M Phys. Solid State 46 219 (2004)
  99. Buchbinder G L International Journal Of Heat And Mass Transfer 46 1665 (2003)
  100. Fort J, M$eacute$ndez Vicen$ccedil$ Rep. Prog. Phys. 65 895 (2002)
  101. Jou D, Casas-Vázquez J, Lebon G Extended Irreversible Thermodynamics Chapter 10 (2001) p. 225
  102. Knyazeva A G, Dyukarev E A Combust Explos Shock Waves 36 452 (2000)
  103. Fort J, Pujol T, Cukrowski A S J. Phys. A: Math. Gen. 33 6953 (2000)
  104. Galenko P K, Danilov D A Physics Letters A 278 129 (2000)
  105. Abarzhi I I Colloids And Surfaces A: Physicochemical And Engineering Aspects 164 105 (2000)
  106. Metzler R, Compte A Physica A: Statistical Mechanics And Its Applications 268 454 (1999)
  107. Carballo S A F, González de la Cruz G et al Phys. Rev. B 59 10630 (1999)
  108. Sobolev S L Tech. Phys. 43 307 (1998)
  109. Shablovskii O N J Eng Phys Thermophys 70 125 (1997)
  110. Galenko P, Sobolev S Phys. Rev. E 55 343 (1997)
  111. Shablovskii O N J Eng Phys Thermophys 70 319 (1997)
  112. Compte A, Metzler R J. Phys. A: Math. Gen. 30 7277 (1997)
  113. Jou D, Casas-Vázquez J, Lebon G Extended Irreversible Thermodynamics Chapter 6 (1996) p. 167
  114. 21 1 (1996)
  115. Sobolev S L Int J Thermophys 17 1089 (1996)
  116. Sobolev S L Phys. Stat. Sol. (a) 156 293 (1996)
  117. Knyazeva A G, Dyukarev E A Combust Explos Shock Waves 31 304 (1995)
  118. Sobolev S L Physics Letters A 199 383 (1995)
  119. Sobolev S L Physics Letters A 197 243 (1995)
  120. Sobolev S L International Journal Of Heat And Mass Transfer 37 2175 (1994)
  121. Sobolev S L Phys. Rev. E 50 3255 (1994)
  122. Sobolev S L J Eng Phys Thermophys 66 436 (1994)
  123. Sobolev S L Physics Letters A 163 101 (1992)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions