A Sample of Publications
(See more papers at my Google Scholar listing)
Surfactant and gravity dependent instability of two-layer Couette flows and its nonlinear saturation
(with D. Halpern). eprint arXiv:1610.04909 [nlin.AO] [Abstract][PDF Full Text]
Nonlinear evolution, travelling waves, and secondary instability of sheared-film flows with insoluble surfactants
(with D. Halpern). J. Fluid Mech. 594 (2008) 125-156. [Abstract][PDF Full Text]
Strongly nonlinear nature of interfacial-surfactant instability of Couette flow
(with D. Halpern). Int. J. Pure Appl. Math, 29/2 (2006), 205-224. [Also, arXiv:nlin/0601025]
Effect of inertia on the insoluble-surfactant instability of a shear flow
(with D. Halpern). Phys. Rev. E 71, 016302, 2005. [Abstract][PDF Full Text]
Destabilization of a creeping flow by interfacial surfacant: linear theory extended to all wavenumbers
(with D. Halpern). J. Fluid Mech. 485 (2003) 191-220. [PDF Full Text]
Stokes-flow instability due to interfacial surfactant
(with D. Halpern). Physics of Fluids 14 (2002) L45-L48. [Abstract] [PDF Full Text]
On saturation of Rayleigh-Taylor instability
(with D. Halpern). In: IUTAM Symposium on Nonlinear Waves in Multiphase Flow (Proceedings of the IUTAM Symposium on Nonlinear Waves in Multiphase Flow, Notre Dame, USA, 1999; ed. C.-H. Chang; Kluwer Academic, Dordrecht, The Netherlands, 2000), pp. 69-79. [PDF Full Text]
Wavy film flows down an inclined plane. Part I: Perturbation theory and general evolution equation for the film thickness
(with K. Indireshkumar). Phys. Rev. E 60 (1999) 4143-4157. [PDF Full Text] [Also, arXiv:patt-sol/9712005]
Large-scale instabilities of generalized oscillating Kolmogorov flows
(with X. Zhang). SIAM Journal on Applied Mathematics 58 (1998) 540-564. [Abstract][PDF Full Text]
Mutually penetrating motion of self-organized 2D patterns of soliton-like structures
(with K. Indireshkumar). Physical Review E 55 (1997) 1174-1177. [PDF Full Text] [Also, arXiv:patt-sol/9606002]
Derivation and simulations of evolution equations of wavy film flows
(with K. Indireshkumar). In: Math Modeling and Simulation in Hydrodynamic Stability (ed. D.N. Riahi, World Scientific, Singapore, 1996), 35-81.
[review - PDF Full Text]
Spatiotemporal patterns in a 3-D film flow
(with K. Indireshkumar). In: Advances in Multi-Fluid Flows (Proceedings of the AMS-IMS-SIAM Summer Research Conference, Seattle, 1995; ed. Y. Renardy et al., Society for Industrial and Applied Mathematics, Philadelphia, 1996), 288-309. [PDF Full Text]
Interactions of coherent structures in a film flow: Simulations of a highly nonlinear evolution equation
(with V. Kerchman). Theoretical and Computational Fluid Dynamics 6 (1994) 235.
On evolution equations for thin films flowing down solid surfaces. Phys. Fluids A 5 (1993) 2342. [PDF Full Text (701 KB)]
Nonlinear theory of strongly undulating thin films flowing down vertical cylinders. Europhysics Letters 18 (1992) 583.
On negative eddy viscosity under conditions of isotropy
(with G. Sivashinsky). Phys. Fluids A 4 (1992) 1608.
Stability of an oscillating Kolmogorov flow. Phys. Fluids A 3 (1991) 1718.
On the convection of a passive scalar by a turbulent Gaussian velocity field
(with T. Lipscombe and D. ter Haar). J. Stat. Phys. 63 (1991) 305.
Nonlinear saturation of core-annular flow instabilities. In: Proceedings of the Sixth Symposium on Energy Engineering Sciences -- Flow and Transport in Continua (CONF-8805106), May 4-6, 1988, at Argonne National Laboratory, Argonne, Illinois. (Cosponsored by Office of Basic Energy Sciences, US Department of Energy, and Materials and Components Technology Divison, Argonne National Laboratory).
Stability of isotropic turbulence against weak mean flow perturbations
(with T. Lipscombe and D. ter Haar). J. Stat. Phys. 53 (1988) 95.
Annular flows can keep unstable films from break-up: Nonlinear saturation of capillary instability
(with A. Babchin, B. Levich, T. Shlang, and G. Sivashinsky). J. Coll. Interface Science 115 (1987) 225.
(with V. Mazur, A. Mikhailovskii, and I. Shukhman). In: Reviews of Plasma Physics, Vol. 9, ed. M. Leontovich, Consultants Bureau (a division of Plenum Publishing Corporation), New York (1986) 299.
Concentration-Gradient Driven Flow of Electrolyte Solution through a Capillary Membrane
(with A. J. Babchin). J. Coll. Interface Science 106 (1985) 410.
Nonlinear saturation of Raleigh-Taylor instability in thin films
(with A. Babchin, B. Levich, and G. Sivashinsky). Phys. Fluids 26 (1983) 3159.
A new dynamical invariant: Topological charge in fluid mechanics.
Phys. Lett. A 88 (1982) 231.
(with K. Brecher). Phys. Rev. D 26 (1982) 368.