67 citations
- Landau Institute for Theoretical PhysicsRU6 papers
- National Research University Higher School of EconomicsRU4 papers
- Astrakhan Tatischev State UniversityRU2 papers
- Federal Scientific Research Centre Crystallography and PhotonicsRU2 papers
- Gubkin Russian State University of Oil and GasRU2 papers
- Texas Tech UniversityUS2 papers
- Centre National de la Recherche ScientifiqueFR1 paper
- Czech Academy of Sciences, Institute of ThermomechanicsCZ1 paper
- Institut Lumière MatièreFR1 paper
- Lyon 1 UniversitéFR1 paper
- Osipyan Institute of Solid State Physics RASRU1 paper
- Purdue University West LafayetteUS1 paper
9 papers
Pattern formation in nonlinear dynamics of nematic liquid crystals above the flexoelectric instability threshold
E. S. Pikina, E. I. Kats, A. R. Muratov +1
For many decades, researchers have been studying various types of electro-hydrodynamic instabilities in liquid crystals. A significant amount of experimental data has been collecte…
The metastability of lipid vesicle shapes in uniaxial extensional flow
M. A. Shishkin, E. S. Pikina
In this work, we investigate the elastic properties of deflated vesicles and their shape dynamics in uniaxial extensional flow. By analysing the Helfrich bending energy and viscous…
Asymptotic estimates for solutions of inhomogeneous non-divergence diffusion equations with drifts
Luan Hoang, Akif Ibragimov
We study the long-time dynamics of the nonlinear processes modeled by diffusion-transport partial differential equations in non-divergence form with drifts. The solutions are subje…
Marangoni instability in oblate droplets suspended on a circular frame
M. A. Shishkin, K. S. Kolegov, S. A. Pikin +2
We study theoretically internal flows in a small oblate droplet suspended on the circular frame. Marangoni convection arises due to a vertical temperature gradient across the drop…
Circulating Marangoni flows within droplets in smectic films
E. S. Pikina, M. A. Shishkin, K. S. Kolegov +2
We present theoretical study and numerical simulation of Marangoni convection within ellipsoidal isotropic droplets embedded in free standing smectic films (FSSF). The thermocapill…
Long-range interactions between membrane inclusions: Electric field induced giant amplification of the pairwise potential
E. S. Pikina, A. R. Muratov, E. I. Kats +1
The aim of this work is to revisit the phenomenological theory of the interaction between membrane inclusions, mediated by the membrane fluctuations. We consider the case where the…