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Assoc. Prof Eugene Benilov

Research Interests

Fluid dynamics (stability, interfacial flows, oceanography),
Nonlinear waves (waves in random media, solitary waves),
Plasma physics (stability of tokamak plasma),
Integrable systems (perturbation theory for almost integrable PDEs).

Publications

Book Chapter

1989

Amplification of nonlinear waves in a medium with temporal fluctuations of parameters.
Benilov, ES; Pelinovsky, EN
Nonlinear Waves in Active Media

Conference Publication

2000

Proc. IUTAM Symposium
E.S. Benilov

1991

Peer Reviewed Journal

2015

A thin drop sliding down an inclined plate
Benilov, ES,Benilov, MS
Journal Of Fluid Mechanics DOI: 10.1017/jfm.2015.226

2013

Thick drops on a slowly oscillating substrate
Benilov, ES,Cummins, CP
Physical Review E DOI: 10.1103/PhysRevE.88.023013

2013

Stability of frozen waves in the modified Cahn-Hilliard model
Benilov, ES,Lee, WT,Sedakov, RO
Physical Review E DOI: 10.1103/PhysRevE.87.032138

2013

Contact lines with a 180 degrees contact angle
Benilov, ES,Vynnycky, M
Journal Of Fluid Mechanics DOI: 10.1017/jfm.2012.625

2013

Why do bubbles in Guinness sink?
Benilov, ES,Cummins, CP,Lee, WT
American Journal Of Physics DOI: 10.1119/1.4769377

2013

On resonant over-reflection of waves by jets
Benilov, ES,Lapin, VN
Geophysical And Astrophysical Fluid Dynamics DOI: 10.1080/03091929.2012.709515

2012

On rimming flows with shocks
Benilov, ES,Lapin, VN,O'Brien, SBG
Journal Of Engineering Mathematics DOI: 10.1007/s10665-011-9512-2

2011

Drops climbing uphill on an oscillating substrate
Benilov, ES; Billingham, J
Journal Of Fluid Mechanics DOI: 10.1017/S0022112010006452

2011
2010

Waves in liquid films on vibrating substrates
Benilov, ES; Chugunova, M
Physical Review E DOI: 10.1103/PhysRevE.81.036302

2010

On liquid films on an inclined plate
Benilov, ES; Chapman, SJ; Mcleod, JB; Ockendon, JR; Zubkov, VS
Journal Of Fluid Mechanics DOI: 10.1017/S002211201000337X

2009

Existence and stability of regularized shock solutions, with applications to rimming flows
Benilov, ES; Benilov, MS; O'Brien, SBG
Journal Of Engineering Mathematics DOI: 10.1007/s10665-008-9227-1

2009

On the stability of shallow rivulets
Benilov, ES
Journal Of Fluid Mechanics DOI: 10.1017/S0022112009990802

2009

Stability of regularized shock solutions, with applications to rimming flows
Benilov, ES; Benilov, MS; O'Brien, SBG
Journal Of Engineering Mathematics

2008

On the drag-out problem in liquid film theory
Benilov, ES; Zubkov, VS
Journal Of Fluid Mechanics DOI: 10.1017/S002211200800431X

2008

Steady rimming flows with surface tension
Benilov, ES; Benilov, MS; Kopteva, N
Journal Of Fluid Mechanics DOI: 10.1017/S0022112007009585

2008
2007

A drift model of interchange instability
Benilov, ES; Power, OA
Physics Of Plasmas DOI: 10.1063/1.2752815

2005

Evolution of packets of surface gravity waves over smooth topography
Benilov, ES; Flanagan, JD; Howlin, CP
Journal Of Fluid Mechanics DOI: 10.1017/S0022112005004246

2005

Exploding solutions for three-dimensional rimming flows
Benilov, ES; Lacey, SM; O'Brien, SBG
Quarterly Journal Of Mechanics And Applied Mathematics DOI: 10.1093/qjmam/hbi020

2005

Does surface tension stabilize liquid films inside a rotating horizontal cylinder?
Benilov, ES; Kopteva, N; O'Brien, SBG
Quarterly Journal Of Mechanics And Applied Mathematics DOI: 10.1093/qjmamj/hbi004

2004

Destabilization of barotropic flows by small-scale topography
Benilov, ES; Nycander, J; Dritschel, DG
Journal Of Fluid Mechanics DOI: 10.1017/S0022112004000990

2002

Does a sheared flow stabilize inversely stratified fluid?
Benilov, ES; Naulin, V; Rasmussen, JJ
Physics Of Fluids DOI: 10.1063/1.1466836

2000

On the long-term evolution of an intense localized divergent vortex on the beta-plane
Reznik, GM; Grimshaw, R; Benilov, ES
Journal Of Fluid Mechanics

2000

Barotropic Rossby waves over two-dimensional topography
Benilov, ES
Journal Of Fluid Mechanics

2000
1999
1998

On the stability of large-amplitude vortices in a continuously stratified fluid on the f-plane.
Benilov, ES; Broutman, D; Kuznetsova, EP
Journal Of Fluid Mechanics

1997

Dynamics of large-amplitude geostrophic flows over bottom topography.
Benilov, ES; Sakov, PV
Nonlinear Processes In Geophysics

1996

The complete classification of large-amplitude geostrophic flows.
Benilov, ES; Reznik, GM
Geophys. Astrophys. Fluid Dynamics

1996
1994
1994

On the stability of two-layered large-amplitude geostrophic flows with thin upper layer.
Benilov, ES; Cushman-Roisin, B
Geophys. Astrophys. Fluid Dynamics

1994

Nonlinear waves in random media with weak dispersion.
Benilov, ES; Pelinovsky, EN
Radiophys. Quant. Electronics

1993

Baroclinic instability of large-amplitude geostrophic flows
Benilov, ES
Journal Of Fluid Mechanics

1992

A note on the stability of one-layer geostrophic fronts
Benilov, ES
Geophys. Astrophys. Fluid Dynamics

1992

Large-amplitude geostrophic dynamics: the two-layer model
Benilov, ES
Geophys. Astrophys. Fluid Dynamics

1992

On the surface waves in a shallow channel with an uneven bottom
Benilov, ES
Studies In Applied Mathematics

1987

Dynamics of an ideal fluid flow over an uneven bottom
Benilov, ES
Journal Of Fluid Mechanics

1986

Perturbation theory for two-dimensional solitons
Benilov, ES; Burtsev, SP
Journal Of Physics A

1985
1985