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Macroscopic thin liquid films are entities that are important in biophysics, physics, and engineering, as well as in natural settings. They can be composed of common liquids such as water or oil,â€¦ (More)

- Alexander Oron, Alexander A. Nepomnyashchy
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2004

We study the onset of Marangoni instability of the quiescent equilibrium in a binary liquid layer with a nondeformable interface in the presence of the Soret effect. Linear stability analysis showsâ€¦ (More)

- Jie Zhang, Robert P. Behringer, Alexander Oron
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2007

Marangoni instabilities in binary mixtures in the presence of the Soret effect and evaporation are different from those in pure liquids. In contrast to a large amount of experimental work onâ€¦ (More)

We numerically investigate the nonlinear evolution of the interface of a thin liquid-vapor bilayer system confined by rigid horizontal walls from both below and above. The lateral variation of theâ€¦ (More)

- Guy Z Ramon, Alexander Oron
- Journal of colloid and interface science
- 2008

The Lucas-Washburn equation, describing the motion of a liquid body in a capillary tube, is extended to account for the effect of phase change - evaporation or condensation. The system is found toâ€¦ (More)

Consider a liquid film on a slightly inclined plane driven by gravity and thermocapillarity. We derive an equation describing the nonlinear evolution of the interface between the liquid and theâ€¦ (More)

- Sergey Shklyaev, Alexander A. Nepomnyashchy, Alexander Oron
- SIAM Journal of Applied Mathematics
- 2014

- Michael Bestehorn, Qi Han, Alexander Oron
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2013

We study a thin liquid film with a free surface on a planar horizontal substrate. The substrate is subjected to oscillatory accelerations in the normal and/or in the horizontal direction(s). Theâ€¦ (More)

- Selin Duruk, Alexander Oron
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2014

We consider an axisymmetric liquid film on a horizontal cylindrical surface subjected to axial harmonic oscillation in the high-frequency limit. We derive and analyze the nonlinear evolution equationâ€¦ (More)

- Alexander Oron
- The European physical journal. E, Soft matter
- 2003

Various issues related to the theory of thin liquid films, such as emergence of non-ruptured steady states, validation of longwave theory and models for change of phase are discussed.