## A Sample of Publications

**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.

**Noneigenmode instabilities**

(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.

**Horizon-free universe**

(with K. Brecher). Phys. Rev. D 26 (1982) 368.