Eugene Benilov’s CV

Research Interests

• Phase transitions, evaporation, kinetic theory
• Fluid dynamics (liquid films, jets, curtains, bridges, contact lines)
• Geophysical fluid dynamics (oceanic vortices, frontal currents)
• Nonlinear waves
• Magnetised plasmas
• Integrable systems

Refereed Publications

1. E. S. Benilov 2024 Multispecies Bhatnagar-Gross-Krook models and the Onsager reciprocal relations. Phys. Rev. E 110, 034125. PDF
2. E. S. Benilov 2024 Does the van der Waals force play a part in evaporation? Phys. Fluids 36, 032105. PDF
3. E. S. Benilov 2023 Does Maxwell’s hypothesis of air saturation near the surface of evaporating liquid hold at all spatial scales? J. Fluid Mech. 971, A20. PDF
4. E. S. Benilov 2023 Nonisothermal evaporation. Phys. Rev. E 107, 044802. PDF
5. E. S. Benilov 2023 Stability of oblique liquid curtains with surface tension. Phys. Fluids 35, 032116. PDF
6. E. S. Benilov 2023 The multicomponent diffuse-interface model and its application to water/air interfaces. J. Fluid Mech. 954, A41. PDF
7. E. S. Benilov 2022 Capillary condensation of saturated vapor in a corner formed by two intersecting walls. Phys. Fluids 34, 062103. PDF
8. E. S. Benilov 2022 Dynamics of a drop floating in vapor of the same fluid. Phys. Fluids 34, 042104. PDF
9. E. S. Benilov 2021 Can a liquid drop on a substrate be in equilibrium with saturated vapor? Phys. Rev. E 104, L032103. PDF
10. A. V. Dubovskaya & E. S. Benilov 2021 Paradoxical predictions of swirling jets. J. Fluid Mech. 925, A12. PDF
11. E. S. Benilov 2021 Paradoxical predictions of liquid curtains with surface tension. J. Fluid Mech. 917, A21. PDF
12. E. S. Benilov 2020 The dynamics of liquid films, as described by the diffuse-interface model. Phys. Fluids 32, 112103. PDF
13. E. S. Benilov 2020 Nonexistence of two-dimensional sessile drops in the diffuse-interface model. Phys. Rev. E 102, 022802. PDF
14. E. S. Benilov 2020 Asymptotic reductions of the diffuse-interface model with applications to contact lines in fluids. Phys. Rev. Fluids 5, 084003. PDF
15. 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. PDF
16. 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. PDF
17. 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. PDF
18. 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. PDF
19. E. S. Benilov 2019 Oblique liquid curtains with a large Froude number. J. Fluid Mech. 861, 328-348. PDF
20. E. S. Benilov & M. S. Benilov 2018 Energy conservation and H theorem for the Enskog–Vlasov equation. Phys. Rev. E 97, 062115. PDF
21. 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
22. E. S. Benilov 2018 Can large oceanic vortices be stable? Geophys. Res. Lett. 45, 1948-1954. PDF
23. 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
24. E. S. Benilov & M. S. Benilov 2017 Kinetic approach to condensation: Diatomic gases with dipolar molecules. Phys. Rev. E 96, 042125. PDF
25. E. S. Benilov 2017 Stable vortices in a continuously stratified ocean with thin active layer. Fluids 2, 43. PDF
26. E. S. Benilov, R. Barros & S. B. G. O’Brien 2016 Stability of thin liquid curtains. Phys. Rev. E 94, 043110. PDF
27. E. S. Benilov 2016 Stability of a liquid bridge under vibration. Phys. Rev. E 93, 063118. PDF
28. M. Haynes, S. B. G. O’Brien & E. S. Benilov 2016 Asymptotics of a horizontal liquid bridge. Phys. Fluids 28, 042107. PDF
29. E. S. Benilov & M. S. Benilov 2016 Semiphenomenological model for gas-liquid phase transitions. Phys. Rev. E 93, 032148. PDF
30. E. S. Benilov 2015 Hydraulic jumps in a shallow flow down a slightly inclined substrate. J. Fluid Mech. 782, 5-24. PDF
31. E. S. Benilov & M. S. Benilov 2015 A thin drop sliding down an inclined plate. J. Fluid Mech. 733, 75-102. PDF
32. 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
33. E. S. Benilov 2014 Depth-averaged model for hydraulic jumps on an inclined plate. Phys. Rev. E 89, 053013. PDF
34. E. S. Benilov & C. P. Cummins 2013 The stability of a static liquid column pulled out of an infinite pool. Phys. Fluids 25, 112105. PDF
35. 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
36. E. S. Benilov & C. P. Cummins 2013 Thick drops on a slowly oscillating substrate. Phys. Rev. E 88, 023013. PDF
37. E. S. Benilov & V. N. Lapin 2012 On resonant over-reflection of waves by jets. Geophys. Astrophys. Fluid Dyn. 107, 304-327. PDF
38. 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. PDF
39. E. S. Benilov & M. Vynnycky 2013 Contact lines with a 180° contact angle. J. Fluid Mech. 718, 481-506. PDF
40. E. S. Benilov, C. P. Cummins & W. T. Lee 2013 Why do bubbles in Guinness sink? Amer. J. Phys. 81, 88-91. PDF
41. E. S. Benilov, V. N. Lapin & S. B. G. O’Brien 2012 On rimming flows with shocks. J. Engng. Math. 75, 49-62. PDF
42. E. S. Benilov 2011 Thin three-dimensional drops on a slowly oscillating substrate. Phys. Rev. E 84, 066301. PDF
43. E. S. Benilov & V. N. Lapin 2011 Shock waves in Stokes flows down an inclined plate. Phys. Rev. E 83, 066321. PDF
44. E. S. Benilov & J. Billingham 2011 Drops climbing uphill on an oscillating substrate. J. Fluid Mech. 674, 93-119. PDF
45. 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
46. E. S. Benilov & A. Oron 2010 The height of a static liquid column pulled out of an infinite pool. Phys. Fluids 22, 102101. PDF
47. E. S. Benilov 2010 Drops climbing uphill on a slowly oscillating substrate. Phys. Rev. E 82, 026320. PDF
48. E. S. Benilov & M. Chugunova 2010 Waves in liquid films on vibrating substrates. Phys. Rev. E 81, 036302. PDF
49. E. S. Benilov 2009 On the stability of shallow rivulets. J. Fluid Mech. 636, 455-474. PDF
50. 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
51. E. S. Benilov & V. S. Zubkov 2008 On the drag-out problem in liquid film theory. J. Fluid Mech. 617, 283-299. PDF
52. 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
53. E. S. Benilov & A. B. Hassam 2008 Weakening of magnetohydrodynamic interchange instabilities by Alfvén waves. Phys. Plasmas 15, 024502. PDF
54. E. S. Benilov, M. S. Benilov & N. Kopteva 2008 Steady rimming flows with surface tension. J. Fluid Mech. 597, 91-118. PDF
55. E. S. Benilov & O. A. Power 2007 A drift model of interchange instability. Phys. Plasmas 14, 082101. PDF
56. 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
57. 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
58. 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
59. 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
60. E. S. Benilov 2005 On the stability of oceanic vortices: A solution to the problem? Dyn. Atmos. Oceans 40, 133-149. PDF
61. 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
62. E. S. Benilov 2005 Impact of a shearless flow and cylindricity on interchange instability in magnetized plasma. Phys. Plasmas 12, 052504. PDF
63. E. S. Benilov & S. B. G. O’Brien 2005 Inertial instability of a liquid film inside a rotating horizontal cylinder. Phys. Fluids. 17, 052106. PDF
64. E. S. Benilov 2005 The effect of ageostrophy on the stability of thin oceanic vortices. Dyn. Atmos. Oceans 39, 211-226. PDF
65. E. S. Benilov 2005 Stability of a two-layer quasigeostrophic eddy over radially symmetric localized topography. J. Phys. Oceanogr. 35, 123-130. PDF
66. E. S. Benilov, J. Nycander & D. G. Dritschel 2004 Destabilisation of barotropic flows by small-scale topography. J. Fluid Mech. 517, 359-374. PDF
67. 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
68. 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
69. 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
70. 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
71. 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
72. E. S. Benilov, V. Naulin & J. Juul Rasmussen 2002 Does a sheared flow stabilize inversely stratified fluid? Phys. Fluids 14, 1674-1680. PDF
73. 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.
74. E. S. Benilov 2001 Baroclinic instability of two-layer flows over one-dimensional bottom topography. J. Phys. Oceanogr. 31, 2019-2025. PDF
75. E. S. Benilov 2000 Waves on the beta-plane over sparse topography. J. Fluid Mech. 423, 263-273. PDF
76. 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
77. 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
78. 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
79. 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
80. 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
81. 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
82. E. S. Benilov & P. V. Sakov 1997 Dynamics of large-amplitude geostrophic flows over bottom topography. Nonlin. Proc. Geophys. 4, 55-62. PDF
83. E. S. Benilov 1996 Beta-induced translation of strong isolated eddies. J. Phys. Oceanogr. 26, 2223-2229. PDF
84. E. S. Benilov & G. M. Reznik 1996 The complete classification of large-amplitude geostrophic flows. Geophys. Astrophys. Fluid Dyn. 82, 1-22. PDF
85. E. S. Benilov 1995 Baroclinic instability of quasi-geostrophic flows localized in a thin layer. J. Fluid Mech. 288, 175-199. PDF
86. E. S. Benilov 1995 Stability of large-amplitude geostrophic flows localized in a thin layer. J. Fluid Mech. 288, 157-174. PDF
87. E. S. Benilov 1995 On the stability of large-amplitude geostrophic flows in a two-layer fluid: the case of ‘strong’ beta-effect. J. Fluid Mech. 284, 137-158. PDF
88. 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
89. 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
90. 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
91. E. S. Benilov 1994 Dynamics of large-amplitude geostrophic flows: the case of ‘strong’ beta-effect. J. Fluid Mech. 262, 157-169. PDF
92. E. S. Benilov & E. N. Pelinovsky 1993 Nonlinear waves in random media with weak dispersion. Radiophys. Quant. Electronics 36(8), 760-766. PDF
93. 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
94. E. S. Benilov 1993 Baroclinic instability of large-amplitude geostrophic flows. J. Fluid Mech. 251, 501-514. PDF
95. E. S. Benilov 1992 A note on the stability of one-layer geostrophic fronts. Geophys. Astrophys. Fluid Dyn. 66, 81-86. PDF
96. E. S. Benilov 1992 Large-amplitude geostrophic dynamics: the two-layer model. Geophys. Astrophys. Fluid Dyn. 66, 67-79. PDF
97. E. S. Benilov 1992 On the surface waves in a shallow channel with an uneven bottom. Stud. Appl. Math. 87, 1-14. PDF
98. 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
99. 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.
100. 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(1), 58-62. PDF
101. E. S. Benilov & M. I. Yaremchuk 1991 On water-wave propagation in a long channel with corrugated boundaries. Wave Motion 13, 115-121. PDF
102. 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
103. 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(8), L439-L442. PDF
104. E. S. Benilov 1988 Stability of plane nonlinear waves in smoothly inhomogeneous random media. Sov. Phys. - JETP 94(11), 105-118. PDF
105. E. S. Benilov & E. N. Pelinovsky 1988 Propagation of nonlinear waves in media with fluctuating parameters. Sov. Phys. - Doklady 301, 1100-1103. PDF
106. E. S. Benilov & E. N. Pelinovsky 1988 Dispersionless wave propagation in nonlinear fluctuating media. Sov. Phys. - JETP 94(1), 175-185. PDF
107. E. S. Benilov 1988 Instability of a non-homogeneous zonal flow over random bottom topography. Mar. Hydrophys. J. (2), 15-19.
108. E. S. Benilov 1987 Dynamics of an ideal fluid flow over an uneven bottom. J. Fluid Mech. 185, 551-568. PDF
109. 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
110. E. S. Benilov & S. P. Burtsev 1986 Perturbation theory for two-dimensional solitons. J. Phys. A 19(4), L177-L179. PDF
111. 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.
112. E. S. Benilov & E. L. Chernyak 1985 On the instability of stratified flows over an uneven bottom. Sov. Phys. - Doklady 282, 281-285.
113. E. S. Benilov 1985 Stability of plasma solitons. Sov. Phys. - JETP 88(1), 120-128. PDF
114. 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.
115. 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.
116. 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

Employment Record

1999-now

Department of Mathematics and Statistics
University of Limerick
Limerick, Ireland

1997-99

Mathematics Institute
University of Warwick
Coventry, UK

1994-97

Department of Applied Computing and Mathematics
University of Tasmania
Launceston, Australia

1991-94

School of Mathematics
University of New South Wales
Sydney, Australia

1990-91

Australian Institute of Marine Sciences
Townsville, Australia

1981-90

P. P. Shirshov Institute of Oceanology
Moscow, Russia

Education

Ph.D.

1988
P. P. Shirshov Institute of Oceanology
Moscow, Russia

B.Sc., M.Sc.

1981
Moscow Institute of Physics and Technology
Russia

General Information

Name:

Eugene Benilov

Address:

Department of Mathematics and Statistics
University of Limerick
Limerick V94 T9PX
Ireland

Email:

Click here

Telephone:

+353 (61) 213 146

Nationality:

Russian, Australian, Irish

Marital status:

Married, 2 children

Personal interests:

I’ve published in Russia two novels and several short stories (scifi and mainstream). One of the novels was nominated for the Russian Booker Prize 1998. If you can read Russian, welcome to my literary website.