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Research


RESEARCH INTERESTS

  1. Interfacial dynamics
  2. Liquid films
  3. Jets, liquid curtains, and liquid bridges
  4. Kinetic theory
  5. Geophysical fluid dynamics
  6. Nonlinear waves
  7. Magnetised plasmas
  8. Integrable systems

REFEREED PUBLICATIONS (in counter-chronological order)

  1. E. S. Benilov 2022 Capillary condensation of saturated vapor in a corner formed by two intersecting walls. Phys. Fluids 34, 062103 (20 pages). [PDF]

  2. E. S. Benilov 2022 Dynamics of a drop floating in vapor of the same fluid. Phys. Fluids 34, 042104 (12 pages). [PDF]

  3. E. S. Benilov 2021 Can a liquid drop on a substrate be in equilibrium with saturated vapor? Phys. Rev. E 104, L032103 (5 pages). [PDF]

  4. A. V. Dubovskaya & E. S. Benilov 2021 Paradoxical predictions of swirling jets. J. Fluid Mech. 925, A12 (26 pages). [PDF]
  5. E. S. Benilov 2021 Paradoxical predictions of liquid curtains with surface tension. J. Fluid Mech. 917, A21 (29 pages). [PDF]
  6. E. S. Benilov 2020 The dynamics of liquid films, as described by the diffuse-interface model. Phys. Fluids 32, 112103 (14 pages). [PDF]
  7. E. S. Benilov 2020 Nonexistence of two-dimensional sessile drops in the diffuse-interface model. Phys. Rev. E 102, 022802 (5 pages). [PDF]
  8. E. S. Benilov 2020 Asymptotic reductions of the diffuse-interface model with applications to contact lines in fluids. Phys. Rev. Fluids 5, 084003 (12 pages). [PDF]
  9. E. S. Benilov 2020 Dependence of the surface tension and contact angle on the temperature, as described by the diffuse-interface model. Phys. Rev. E 101, 042803 (10 pages). [PDF]

  10. E. S. Benilov & M. S. Benilov 2019 The Enskog–Vlasov equation: a kinetic model describing gas, liquid, and solid. J. Stat. Mech.: Theory Exp., 103205 (14 pages). [PDF]
  11. R. Fernandez-Feria, E. Sanmiguel-Rojas & E. S. Benilov 2019 On the origin and structure of a stationary circular hydraulic jump. Phys. Fluids 31, 072104 (6 pages). [PDF]
  12. E. S. Benilov & M. S. Benilov 2019 Peculiar property of noble gases and its explanation through the Enskog-Vlasov model. Phys. Rev. E 99, 012144 (5 pages). [PDF]
  13. E. S. Benilov 2019 Oblique liquid curtains with a large Froude number. J. Fluid Mech. 861, 328-348. [PDF]
  14. E. S. Benilov & M. S. Benilov 2018 Energy conservation and H theorem for the Enskog-Vlasov equation. Phys. Rev. E 97, 062115 (11 pages). [PDF]
  15. E. S. Benilov 2018 A parameterization of the passive layer of a quasigeostrophic flow in a continuously-stratified ocean. Ocean Mod. 125, 39-44. [PDF]
  16. E. S. Benilov 2018 Can large oceanic vortices be stable? Geophys. Res. Lett. 45, 1948-1954. [PDF]
  17. M. Haynes, E. J. Vega, M. A. Herrada, M. E. Benilov & J. M. Montanero 2018 Stabilization of axisymmetric liquid bridges through vibration-induced pressure fields. J. Colloid. Interface Sci. 513, 409-417. [PDF]
  18. E. S. Benilov & M. S. Benilov 2017 Kinetic approach to condensation: Diatomic gases with dipolar molecules. Phys. Rev. E 96, 042125 (15 pages). [PDF]
  19. E. S. Benilov 2017 Stable vortices in a continuously stratified ocean with thin active layer. Fluids 2, 43 (13 pages). [PDF]
  20. E. S. Benilov, R. Barros & S. B. G. O’Brien 2016 Stability of thin liquid curtains. Phys. Rev. E 94, 043110 (8 pages). [PDF]
  21. E. S. Benilov 2016 Stability of a liquid bridge under vibration. Phys. Rev. E 93, 063118 (8 pages). [PDF]
  22. M. Haynes, S. B. G. O’Brien & E. S. Benilov 2016 Asymptotics of a horizontal liquid bridge. Phys. Fluids 28, 042107 (17 pages). [PDF]
  23. E. S. Benilov & M. S. Benilov 2016 Semiphenomenological model for gas-liquid phase transitions. Phys. Rev. E 93, 032148 (9 pages). [PDF]
  24. E. S. Benilov 2015 Hydraulic jumps in a shallow flow down a slightly inclined substrate. J. Fluid Mech. 782, 5-24. [PDF]
  25. E. S. Benilov & M. S. Benilov 2015 A thin drop sliding down an inclined plate. J. Fluid Mech. 733, 75-102. [PDF]
  26. E. S. Benilov & V. N. Lapin 2015 An example where lubrication theory comes short: hydraulic jumps in a flow down an inclined plate. J. Fluid Mech. 764, 277-295. [PDF]
  27. E. S. Benilov 2014 Depth-averaged model for hydraulic jumps on an inclined plate. Phys. Rev. E 89, 053013 (6 pages). [PDF]
  28. E. S. Benilov & C. P. Cummins 2013 The stability of a static liquid column pulled out of an infinite pool. Phys. Fluids 25, 112105 (19 pages). [PDF]
  29. E. S. Benilov & V. N. Lapin 2013 Inertial instability of flows on the inside or outside of a rotating horizontal cylinder. J. Fluid Mech. 736, 107-129. [PDF]
  30. E. S. Benilov & C. P. Cummins 2013 Thick drops on a slowly oscillating substrate. Phys. Rev. E 88, 023013 (9 pages). [PDF]
  31. E. S. Benilov & V. N. Lapin 2013 On resonant over-reflection of waves by jets. Geophys. Astrophys. Fluid Dyn. 107, 304-327. [PDF]
  32. E. S. Benilov, W. T. Lee & R. O. Sedakov 2013 Stability of frozen waves in the Modified Cahn-Hilliard model. Phys. Rev. E 87, 032138 (9 pages). [PDF]
  33. E. S. Benilov & M. Vynnycky 2013 Contact lines with a 180° contact angle. J. Fluid Mech. 718, 481-506. [PDF]
  34. E. S. Benilov, C. P. Cummins & W. T. Lee 2013 Why do bubbles in Guinness sink? Amer. J. Phys 81, 88-91. [PDF]
  35. E. S. Benilov, V. N. Lapin & S. B. G. O'Brien 2012 On rimming flows with shocks. J. Engng. Math. 75, 49-62. [PDF]
  36. E. S. Benilov 2011 Thin three-dimensional drops on a slowly oscillating substrate. Phys. Rev. E 84, 066301 (9 pages). [PDF]
  37. E. S. Benilov & V. N. Lapin 2011 Shock waves in Stokes flows down an inclined plate. Phys. Rev. E 83, 066321 (5 pages). [PDF]
  38. E. S. Benilov & J. Billingham 2011 Drops climbing uphill on an oscillating substrate. J. Fluid Mech. 674, 93-119. [PDF]
  39. E. S. Benilov, S. J. Chapman, J. B. Mcleod, J. R. Ockendon & V. S. Zubkov 2010 On liquid films on an inclined plate. J. Fluid Mech. 663, 53-69. [PDF]
  40. E. S. Benilov & A. Oron 2010 The height of a static liquid column pulled out of an infinite pool. Phys. Fluids 22, 102101 (8 pages). [PDF]
  41. E. S. Benilov 2010 Drops climbing uphill on a slowly oscillating substrate. Phys. Rev. E 82, 026320 (8 pages). [PDF]
  42. E. S. Benilov & M. Chugunova 2010 Waves in liquid films on vibrating substrates. Phys. Rev. E 81, 036302 (15 pages). [PDF]
  43. E. S. Benilov 2009 On the stability of shallow rivulets. J. Fluid Mech. 636, 455-474. [PDF]
  44. E. S. Benilov, M. S. Benilov & S. B. G. O'Brien 2009 Existence and stability of regularized shock solutions, with applications to rimming flows. J. Engng. Math. 63, 197-212. [PDF]
  45. E. S. Benilov & V. S. Zubkov 2008 On the drag-out problem in liquid film theory. J. Fluid Mech. 617, 283-299. [PDF]
  46. E. S. Benilov & J. D. Flanagan 2008 The effect of ageostrophy on the stability of vortices in a two-layer ocean. Ocean Mod. 23, 49-58. [PDF]
  47. E. S. Benilov & A. B. Hassam 2008 Weakening of magnetohydrodynamic interchange instabilities by Alfvén waves. Phys. Plasmas 15, 024502 (4 pages). [PDF]
  48. E. S. Benilov, M. S. Benilov & N. Kopteva 2008 Steady rimming flows with surface tension. J. Fluid Mech. 597, 91-118. [PDF]
  49. E. S. Benilov & O. A. Power 2007 A drift model of interchange instability. Phys. Plasmas 14, 082101 (7 pages). [PDF]
  50. E. S. Benilov & C. P. Howlin 2006 Evolution of packets of surface gravity waves over strong smooth topography. Stud. Appl. Math. 116, 289-301. [PDF]
  51. E. S. Benilov 2006 Does surface tension stabilize liquid films inside a rotating horizontal cylinder? Part 2: Multidimensional disturbances. Stud. Appl. Math. 116, 1-20. [PDF]
  52. E. S. Benilov, S. M. Lacey & S. B. G. O'Brien 2005 Exploding solutions for three-dimensional rimming flows. Q. J. Mech. Appl. Math. 58, 563-576. [PDF]
  53. E. S. Benilov, N. Kopteva & S. B. G. O'Brien 2005 Does surface tension stabilize liquid films inside a rotating horizontal cylinder? Q. J. Mech. Appl. Math. 58, 185-200. [PDF]
  54. E. S. Benilov 2005 On the stability of oceanic vortices: A solution to the problem? Dyn. Atmos. Oceans 40, 133-149. [PDF]
  55. E. S. Benilov, J. D. Flanagan & C. P. Howlin 2005 Evolution of packets of surface gravity waves over smooth topography. J. Fluid Mech. 533, 171-181. [PDF]
  56. E. S. Benilov 2005 Impact of a shearless flow and cylindricity on interchange instability in magnetized plasma. Phys. Plasmas 12, 052504 (9 pages). [PDF]
  57. E. S. Benilov & S. B. G. O'Brien 2005 Inertial instability of a liquid film inside a rotating horizontal cylinder. Phys. Fluids. 17, 052106 (16 pages). [PDF]
  58. E. S. Benilov 2005 The effect of ageostrophy on the stability of thin oceanic vortices. Dyn. Atmos. Oceans 39, 211-226. [PDF]
  59. E. S. Benilov 2005 Stability of a two-layer quasigeostrophic eddy over radially symmetric localized topography. J. Phys. Oceanogr. 35, 123-130. [PDF]
  60. E. S. Benilov, J. Nycander & D. G. Dritschel 2004 Destabilisation of barotropic flows by small-scale topography. J. Fluid Mech. 517, 359-374. [PDF]
  61. E. S. Benilov 2004 Stability of vortices in a two-layer ocean with uniform potential vorticity in the lower layer. J. Fluid Mech. 502, 207-232. [PDF]
  62. E. S. Benilov 2004 Explosive instability in a linear system with neutrally stable eigenmodes. Part 2: Multi-dimensional disturbances. J. Fluid Mech. 501, 105-124. [PDF]
  63. E. S. Benilov, S. B. G. O'Brien & I. A. Sazonov 2003 A new type of instability: explosive disturbances in a liquid film inside a rotating horizontal cylinder. J. Fluid Mech. 497, 201-224. [PDF]
  64. E. S. Benilov 2003 Short-wave, localised disturbances in jets, with applications to flows on a beta-plane with topography. Phys. Fluids 15, 718-729. [PDF]
  65. E. S. Benilov 2003 Instability of quasi-geostrophic vortices in a two-layer ocean with thin upper layer. J. Fluid Mech. 475, 303-331. [PDF]
  66. E. S. Benilov, V. Naulin & J. Juul Rasmussen 2002 Does a sheared flow stabilize inversely stratified fluid? Phys. Fluids 14, 1674-1680. [PDF]
  67. E. S. Benilov 2001 Waves on the beta-plane over topography, in Proc. IUTAM Symposium, Limerick, June 2000, ed.: P. F. Hodnett, Klewer, 99-104.
  68. E. S. Benilov 2001 Baroclinic instability of two-layer flows over one-dimensional bottom topography. J. Phys. Oceanogr. 31, 2019-2025. [PDF]
  69. E. S. Benilov 2000 Waves on the beta-plane over sparse topography. J. Fluid Mech. 423, 263-273. [PDF]
  70. G. M. Reznik, R. Grimshaw & E. S. Benilov 2000 On the long-term evolution of intense localised divergent vortices on the beta plane. J. Fluid Mech. 422, 249-280. [PDF]
  71. E. S. Benilov 2000 The dynamics of a near-surface vortex in a two-layer ocean on the beta-plane. J. Fluid Mech. 420, 277-299. [PDF]
  72. E. S. Benilov 2000 The stability of zonal jets in a rough-bottomed ocean on the barotropic beta-plane. J. Phys. Oceanogr. 30, 733-740. [PDF]
  73. E. S. Benilov 1999 On the advection of tracer by eddies on the beta-plane: A numerical study. Nonlin. Proc. Geophys. 6, 67-77. [PDF]
  74. E. S. Benilov & P. V. Sakov 1999 On the linear approximation of velocity and density profiles in the problem of baroclinic instability. J. Phys. Oceanogr. 29, 1374-1381. [PDF]
  75. E. S. Benilov, D. Broutman & E. P. Kuznetsova 1998 On the stability of large-amplitude vortices in a continuously stratified fluid on the f-plane. J. Fluid Mech. 355, 139-162. [PDF]
  76. E. S. Benilov & P. V. Sakov 1997 Dynamics of large-amplitude geostrophic flows over bottom topography. Nonlin. Proc. Geophys. 4, 55-62. [PDF]
  77. E. S. Benilov 1996 Beta-induced translation of strong isolated eddies. J. Phys. Oceanogr. 26, 2223-2229. [PDF]
  78. E. S. Benilov & G. M. Reznik 1996 The complete classification of large-amplitude geostrophic flows. Geophys. Astrophys. Fluid Dyn. 82, 1-22. [PDF]
  79. E. S. Benilov 1995 Baroclinic instability of quasi-geostrophic lows localized in a thin layer. J. Fluid Mech. 288, 175-199. [PDF]
  80. E. S. Benilov 1995 Stability of large-amplitude geostrophic flows localized in a thin layer. J. Fluid Mech. 288, 157-174. [PDF]
  81. E. S. Benilov 1995 On the instability of large-amplitude geostrophic flows in a two-layer fluid: the case of 'strong' beta-effect. J. Fluid Mech. 284, 137-158. [PDF]
  82. E. S. Benilov 1994 The effect of continuous stratification on the two-layer model of baroclinic instability. Geophys. Astrophys. Fluid Dyn. 78, 95-113. [PDF]
  83. R. Grimshaw, B. A. Malomed & E. S. Benilov 1994 Solitary waves with oscillatory tails: an analysis of the fifth-order Korteveg - de Vries equation. Physica D 77, 473-485. [PDF]
  84. E. S. Benilov & B. Cushman-Roisin 1994 On the stability of two-layered large-amplitude geostrophic flows with thin upper layer. Geophys. Astrophys. Fluid Dyn. 76, 29-41. [PDF]
  85. E. S. Benilov 1994 Dynamics of large-amplitude geostrophic flows: the case of "strong" beta-effect. J. Fluid Mech. 262, 157-169. [PDF]
  86. E. S. Benilov & E. N. Pelinovsky 1993 Nonlinear waves in random media with weak dispersion. Radiophys. Quant. Electronics 36, 760-766. [PDF]
  87. E. S. Benilov, R. Grimshaw & E. P. Kuznetsova 1993 The generation of radiating waves in a singularly perturbed Korteweg - de Vries equation. Physica D 69, 270-278. [PDF]
  88. E. S. Benilov 1993 Baroclinic instability of large-amplitude geostrophic flows. J. Fluid Mech. 251, 501-514. [PDF]
  89. E. S. Benilov 1992 A note on the stability of one-layer geostrophic fronts. Geophys. Astrophys. Fluid Dyn. 66, 81-86. [PDF]
  90. E. S. Benilov 1992 Large-amplitude geostrophic dynamics: the two-layer model. Geophys. Astrophys. Fluid Dyn. 66, 67-79. [PDF]
  91. E. S. Benilov 1992 On the surface waves in a shallow channel with an uneven bottom. Stud. Appl. Math. 87, 1-14. [PDF]
  92. E. S. Benilov, V. G. Gnevyshev & V. I. Shrira 1992 Nonlinear interaction of a zonal jet and barotropic Rossby-wave turbulence: the problem of turbulent friction. Dyn. Atmos. Oceans 16, 339-353. [PDF]
  93. E. S. Benilov 1992 Instability of a water-wave soliton over random bottom topography, in: Proc. IUTAM Symposium, UNSW, Sydney, July 1991, eds.: M. Banner & R. Grimshaw, Springer-Verlag, 285-289.
  94. E. S. Benilov & E. W. Wolansky 1992 A note on the diffusion in fluids with wave-induced random motion. Applications to the barotropic Rossby waves. Phys. Fluids A 4, 58-62. [PDF]
  95. E. S. Benilov & M. I. Yaremchuk 1991 On water-wave propagation in a long channel with corrugated boundaries. Wave Motion 13, 115-121. [PDF]
  96. E. S. Benilov & E. N. Pelinovsky 1989 Amplification of nonlinear waves in a medium with temporal fluctuations of parameters, in: Nonlinear Waves in Active Media, ed.: J. Engelbrecht, Springer-Verlag, 121-126. [PDF]
  97. E. S. Benilov & B. A. Malomed 1988 On the spectral singularity problem in the perturbation theory for system close to the KdV equation. J. Phys. A 21, L439-L442. [PDF]
  98. E. S. Benilov 1988 Stability of plane nonlinear waves in smoothly inhomogeneous random media. Sov. Phys. - JETP 94, 105-118. [PDF]
  99. E. S. Benilov & E. N. Pelinovsky 1988 Propagation of nonlinear waves in media with fluctuating parameters. Sov. Phys. - Doklady 301, 1100-1103. [PDF]
  100. E. S. Benilov & E. N. Pelinovsky 1988 Dispersionless wave propagation in nonlinear fluctuating media. Sov. Phys. - JETP 94, 175-185. [PDF]
  101. E. S. Benilov 1988 Instability of a non-homogeneous zonal flow over random bottom topography. Mar. Hydrophys. J., 15-19.
  102. E. S. Benilov 1987 Dynamics of an ideal fluid flow over an uneven bottom. J. Fluid Mech. 185, 551-568. [PDF]
  103. E. S. Benilov & E. N. Pelinovsky 1987 The scattering of internal gravity waves in a flow over an uneven bottom. Akad. Nauk. SSSR, Izv. Atmos. Ocean. Phys. 23, 1085-1091. [PDF]
  104. E. S. Benilov & S. P. Burtsev 1986 Perturbation theory for two-dimensional solitons. J. Phys. A 19, L177-L179. [PDF]
  105. E. S. Benilov 1985 The instability of a large-scale zonal flow over an uneven bottom. Proc. USSR Acad. Sci. - Doklady, Earth Sci. Sect. 285, 447-450.
  106. E. S. Benilov & E. L. Chernyak 1985 On the instability of stratified flows over an uneven bottom. Sov. Phys. - Doklady 282, 281-285.
  107. E. S. Benilov 1985 Stability of plasma solitons. Sov. Phys. - JETP 88, 120-128. [PDF]
  108. E. S. Benilov, K. V. Pokazeev & A. D. Rozenberg 1985 Laboratory study of regular gravity-capillary linear waves on a non-steady current. Oceanology 25, 37-42.
  109. E. S. Benilov 1985 Nonlinear interaction of a soliton and short waves in an ideal fluid. Akad. Nauk. SSSR, Izv. Atmos. Ocean. Phys. 21, 417-421.
  110. E. S. Benilov & S. P. Burtsev 1983 On the integrability of the equations describing the Langmuir-wave - ion-acoustic-wave interaction. Phys. Lett. A 98, 256-258. [PDF]