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Research


RESEARCH INTERESTS

  1. Liquid films
  2. Gas/liquid phase transitions
  3. Geophysical fluid dynamics
  4. Nonlinear waves
  5. Magnetised plasmas
  6. Computational fluid dynamics
  7. Integrable systems

REFEREED PUBLICATIONS (in counter-chronological order)

  1. E. S. Benilov 2020 Nonexistence of two-dimensional sessile drops in the diffuse-interface model. Phys. Rev. E, 102, 022802 (5 pages). [PDF]
  2. 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]
  3. 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]

  4. E. S. Benilov & M. S. Benilov 2019 The Enskog–Vlasov equation: a kinetic model describing gas, liquid, and solid. J. Stat. Mech., 103205 (14 pages). [PDF]
  5. 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]
  6. 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]
  7. E. S. Benilov 2019 Oblique liquid curtains with a large Froude number. J. Fluid Mech. 861, 328-348. [PDF]
  8. 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]
  9. 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]
  10. E. S. Benilov 2018 Can large oceanic vortices be stable? Geophys. Res. Lett. 45, 1948-1954. [PDF]
  11. 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]
  12. E. S. Benilov & M. S. Benilov 2017 Kinetic approach to condensation: Diatomic gases with dipolar molecules. Phys. Rev. E 96, 042125 (15 pages). [PDF]
  13. E. S. Benilov 2017 Stable vortices in a continuously stratified ocean with thin active layer. Fluids 2, 43 (13 pages). [PDF]
  14. E. S. Benilov, R. Barros & S. B. G. O’Brien 2016 Stability of thin liquid curtains. Phys. Rev. E 94, 043110 (8 pages). [PDF]
  15. E. S. Benilov 2016 Stability of a liquid bridge under vibration. Phys. Rev. E 93, 063118 (8 pages). [PDF]
  16. M. Haynes, S. B. G. O’Brien & E. S. Benilov 2016 Asymptotics of a horizontal liquid bridge. Phys. Fluids 28, 042107 (17 pages). [PDF]
  17. E. S. Benilov & M. S. Benilov 2016 Semiphenomenological model for gas-liquid phase transitions. Phys. Rev. E 93, 032148 (9 pages). [PDF]
  18. E. S. Benilov 2015 Hydraulic jumps in a shallow flow down a slightly inclined substrate. J. Fluid Mech. 782, 5-24. [PDF]
  19. E. S. Benilov & M. S. Benilov 2015 A thin drop sliding down an inclined plate. J. Fluid Mech. 733, 75-102. [PDF]
  20. 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]
  21. E. S. Benilov 2014 Depth-averaged model for hydraulic jumps on an inclined plate. Phys. Rev. E 89, 053013 (6 pages). [PDF]
  22. 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]
  23. 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]
  24. E. S. Benilov & C. P. Cummins 2013 Thick drops on a slowly oscillating substrate. Phys. Rev. E 88, 023013 (9 pages). [PDF]
  25. E. S. Benilov & V. N. Lapin 2013 On resonant over-reflection of waves by jets. Geophys. Astrophys. Fluid Dyn. 107, 304-327. [PDF]
  26. 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]
  27. E. S. Benilov & M. Vynnycky 2013 Contact lines with a 180° contact angle. J. Fluid Mech. 718, 481-506. [PDF]
  28. E. S. Benilov, C. P. Cummins & W. T. Lee 2013 Why do bubbles in Guinness sink? Amer. J. Phys 81, 88-91. [PDF]
  29. E. S. Benilov, V. N. Lapin & S. B. G. O'Brien 2012 On rimming flows with shocks. J. Engng. Math. 75, 49-62. [PDF]
  30. E. S. Benilov 2011 Thin three-dimensional drops on a slowly oscillating substrate. Phys. Rev. E 84, 066301 (9 pages). [PDF]
  31. E. S. Benilov & V. N. Lapin 2011 Shock waves in Stokes flows down an inclined plate. Phys. Rev. E 83, 066321 (5 pages). [PDF]
  32. E. S. Benilov & J. Billingham 2011 Drops climbing uphill on an oscillating substrate. J. Fluid Mech. 674, 93-119. [PDF]
  33. 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]
  34. 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]
  35. E. S. Benilov 2010 Drops climbing uphill on a slowly oscillating substrate. Phys. Rev. E 82, 026320 (8 pages). [PDF]
  36. E. S. Benilov & M. Chugunova 2010 Waves in liquid films on vibrating substrates. Phys. Rev. E 81, 036302 (15 pages). [PDF]
  37. E. S. Benilov 2009 On the stability of shallow rivulets. J. Fluid Mech. 636, 455-474. [PDF]
  38. 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]
  39. E. S. Benilov & V. S. Zubkov 2008 On the drag-out problem in liquid film theory. J. Fluid Mech. 617, 283-299. [PDF]
  40. 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]
  41. E. S. Benilov & A. B. Hassam 2008 Weakening of magnetohydrodynamic interchange instabilities by Alfvén waves. Phys. Plasmas 15, 024502 (4 pages). [PDF]
  42. E. S. Benilov, M. S. Benilov & N. Kopteva 2008 Steady rimming flows with surface tension. J. Fluid Mech. 597, 91-118. [PDF]
  43. E. S. Benilov & O. A. Power 2007 A drift model of interchange instability. Phys. Plasmas 14, 082101 (7 pages). [PDF]
  44. 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]
  45. 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]
  46. 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]
  47. 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]
  48. E. S. Benilov 2005 On the stability of oceanic vortices: A solution to the problem? Dyn. Atmos. Oceans 40, 133-149. [PDF]
  49. 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]
  50. E. S. Benilov 2005 Impact of a shearless flow and cylindricity on interchange instability in magnetized plasma. Phys. Plasmas 12, 052504 (9 pages). [PDF]
  51. 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]
  52. E. S. Benilov 2005 The effect of ageostrophy on the stability of thin oceanic vortices. Dyn. Atmos. Oceans 39, 211-226. [PDF]
  53. E. S. Benilov 2005 Stability of a two-layer quasigeostrophic eddy over radially symmetric localized topography. J. Phys. Oceanogr. 35, 123-130. [PDF]
  54. E. S. Benilov, J. Nycander & D. G. Dritschel 2004 Destabilisation of barotropic flows by small-scale topography. J. Fluid Mech. 517, 359-374. [PDF]
  55. 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]
  56. 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]
  57. 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]
  58. 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]
  59. 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]
  60. E. S. Benilov, V. Naulin & J. Juul Rasmussen 2002 Does a sheared flow stabilize inversely stratified fluid? Phys. Fluids 14, 1674-1680. [PDF]
  61. 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.
  62. E. S. Benilov 2001 Baroclinic instability of two-layer flows over one-dimensional bottom topography. J. Phys. Oceanogr. 31, 2019-2025. [PDF]
  63. E. S. Benilov 2000 Waves on the beta-plane over sparse topography. J. Fluid Mech. 423, 263-273. [PDF]
  64. 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]
  65. 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]
  66. 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]
  67. 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]
  68. 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]
  69. 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]
  70. E. S. Benilov & P. V. Sakov 1997 Dynamics of large-amplitude geostrophic flows over bottom topography. Nonlin. Proc. Geophys. 4, 55-62. [PDF]
  71. E. S. Benilov 1996 Beta-induced translation of strong isolated eddies. J. Phys. Oceanogr. 26, 2223-2229. [PDF]
  72. E. S. Benilov & G. M. Reznik 1996 The complete classification of large-amplitude geostrophic flows. Geophys. Astrophys. Fluid Dyn. 82, 1-22. [PDF]
  73. E. S. Benilov 1995 Baroclinic instability of quasi-geostrophic lows localized in a thin layer. J. Fluid Mech. 288, 175-199. [PDF]
  74. E. S. Benilov 1995 Stability of large-amplitude geostrophic flows localized in a thin layer. J. Fluid Mech. 288, 157-174. [PDF]
  75. 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]
  76. 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]
  77. 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]
  78. 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]
  79. E. S. Benilov 1994 Dynamics of large-amplitude geostrophic flows: the case of "strong" beta-effect. J. Fluid Mech. 262, 157-169. [PDF]
  80. E. S. Benilov & E. N. Pelinovsky 1993 Nonlinear waves in random media with weak dispersion. Radiophys. Quant. Electronics 36, 760-766. [PDF]
  81. 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]
  82. E. S. Benilov 1993 Baroclinic instability of large-amplitude geostrophic flows. J. Fluid Mech. 251, 501-514. [PDF]
  83. E. S. Benilov 1992 A note on the stability of one-layer geostrophic fronts. Geophys. Astrophys. Fluid Dyn. 66, 81-86. [PDF]
  84. E. S. Benilov 1992 Large-amplitude geostrophic dynamics: the two-layer model. Geophys. Astrophys. Fluid Dyn. 66, 67-79. [PDF]
  85. E. S. Benilov 1992 On the surface waves in a shallow channel with an uneven bottom. Stud. Appl. Math. 87, 1-14. [PDF]
  86. 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]
  87. 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.
  88. 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]
  89. E. S. Benilov & M. I. Yaremchuk 1991 On water-wave propagation in a long channel with corrugated boundaries. Wave Motion 13, 115-121. [PDF]
  90. 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]
  91. 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]
  92. E. S. Benilov 1988 Stability of plane nonlinear waves in smoothly inhomogeneous random media. Sov. Phys. - JETP 94, 105-118. [PDF]
  93. E. S. Benilov & E. N. Pelinovsky 1988 Propagation of nonlinear waves in media with fluctuating parameters. Sov. Phys. - Doklady 301, 1100-1103. [PDF]
  94. E. S. Benilov & E. N. Pelinovsky 1988 Dispersionless wave propagation in nonlinear fluctuating media. Sov. Phys. - JETP 94, 175-185. [PDF]
  95. E. S. Benilov 1988 Instability of a non-homogeneous zonal flow over random bottom topography. Mar. Hydrophys. J., 15-19.
  96. E. S. Benilov 1987 Dynamics of an ideal fluid flow over an uneven bottom. J. Fluid Mech. 185, 551-568. [PDF]
  97. 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]
  98. E. S. Benilov & S. P. Burtsev 1986 Perturbation theory for two-dimensional solitons. J. Phys. A 19, L177-L179. [PDF]
  99. 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.
  100. E. S. Benilov & E. L. Chernyak 1985 On the instability of stratified flows over an uneven bottom. Sov. Phys. - Doklady 282, 281-285.
  101. E. S. Benilov 1985 Stability of plasma solitons. Sov. Phys. - JETP 88, 120-128. [PDF]
  102. 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.
  103. 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.
  104. 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]