Search Results - "Nepomnyashchy, Alexander"
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Physical phase field model for phagocytosis
Published in New journal of physics (01-01-2024)“…We propose and study a simple, physical model for phagocytosis, i.e. the active, actin-mediated uptake of micron-sized particles by biological cells. The cell…”
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Large-scale longitudinal distortions of Marangoni wave patterns in the non-isothermal liquid layer covered by surfactant
Published in The European physical journal. ST, Special topics (2024)“…In the present paper, we consider single traveling waves (STW) generated by the oscillatory instability of Marangoni convection in the thin non-isothermal…”
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Anomalously Slow Dewetting of Colloidal Particles at a Liquid/Gas Interface
Published in Colloids and interfaces (08-02-2019)“…We consider the anomalously slow dewetting of colloidal particles adsorbed at a liquid/gas interface. The particles move in the vertical direction under the…”
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Phase field model for cell spreading dynamics
Published in Journal of mathematical biology (01-04-2022)“…We suggest a 3D phase field model to describe 3D cell spreading on a flat substrate. The model is a simplified version of a minimal model that was developed in…”
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The Influence of Two-Dimensional Temperature Modulation on Floating Droplet Dynamics
Published in Fluids (Basel) (01-01-2024)“…We investigate the dynamics and instabilities of a droplet that floats on a liquid substrate. The substrate is cooled from below. In the framework of the…”
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Longitudinal Modulation of Marangoni Wave Patterns in Thin Film Heated From Below: Instabilities and Control
Published in Frontiers in applied mathematics and statistics (12-10-2021)“…Non-linear Marangoni waves, which are generated by the long-wave oscillatory instability of the conductive state in a thin liquid film heated from below in the…”
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Marangoni Patterns in a Non-Isothermal Liquid with Deformable Interface Covered by Insoluble Surfactant
Published in Colloids and interfaces (01-09-2022)“…Marangoni patterns are created by instabilities caused by thermocapillary and solutocapillary stresses on the deformable free surface of a thin liquid layer…”
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The oscillatory longwave Marangoni convection in a thin film heated from below
Published in SN applied sciences (01-10-2021)“…A novel type of Marangoni convection was predicted theoretically a decade ago. The thin liquid film atop a substrate of low thermal conductivity was…”
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Patterns and Their Large-Scale Distortions in Marangoni Convection with Insoluble Surfactant
Published in Fluids (Basel) (01-08-2021)“…Nonlinear dynamics of patterns near the threshold of long-wave monotonic Marangoni instability of conductive state in a heated thin layer of liquid covered by…”
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Parametric excitation of oscillatory Marangoni instability in a heated liquid layer covered by insoluble surfactant
Published in The European physical journal. ST, Special topics (01-04-2017)“…This paper is a continuation of our previous research reported in the two last IMA conferences. While in our previous works the driving modulation was a…”
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OSCILLATORY LONGWAVE MARANGONI CONVECTION IN A BINARY LIQUID. PART 2: SQUARE PATTERNS
Published in SIAM journal on applied mathematics (01-01-2014)“…As a natural extension for our recent work [SIAM J. Appl. Math., 73 (2013), pp. 2203–2223] we study pattern selection on a square lattice for longwave…”
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OSCILLATORY LONGWAVE MARANGONI CONVECTION IN A BINARY LIQUID: RHOMBIC PATTERNS
Published in SIAM journal on applied mathematics (01-01-2013)“…Longwave oscillatory Marangoni convection in a planar binary liquid layer is studied. Finite-amplitude regimes with perturbations of temperature and solute…”
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Parametric Excitation of Marangoni Instability in a Heated Thin Layer Covered by Insoluble Surfactant
Published in Microgravity science and technology (01-05-2018)“…The paper presents the analysis of the impact of vertical periodic vibrations on the long-wavelength Marangoni instability in a liquid layer with poorly…”
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Droplet on a liquid substrate: Wetting, dewetting, dynamics, instabilities
Published in Current opinion in colloid & interface science (01-02-2021)“…Droplets on a liquid substrate (‘liquid lenses’) play an important role in various branches of engineering, including microfluidics, chemical engineering,…”
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Marangoni instability of a liquid layer with insoluble surfactant under heat flux modulation
Published in The European physical journal. ST, Special topics (01-03-2013)“…We investigate the parametric excitation of Marangoni convection by a periodic flux modulation in a liquid layer with insoluble surfactant absorbed on the…”
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Long-Wavelength Marangoni Convection in a Liquid Layer with Insoluble Surfactant: Linear Theory
Published in Microgravity science and technology (01-09-2010)“…The subject of this paper is the long-wave Marangoni convection in a horizontal liquid layer with insoluble surfactant absorbed on the free surface. The…”
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Transverse instability of traveling wave created by longwave Marangoni convection in the liquid layer covered by insoluble surfactant
Published in Physica. D (01-11-2024)“…We consider the Marangoni convection in a liquid layer heated from below. The liquid interface is covered by insoluble surfactant that plays an active role in…”
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Chaos in coupled heteroclinic cycles and its piecewise-constant representation
Published in Physica. D (01-10-2023)“…We consider two robust heteroclinic cycles rotating in opposite directions, coupled by diffusive terms. A complete synchronization is impossible in this…”
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Amplitude Equations for Large-Scale Marangoni Convection in a Liquid Layer with Insoluble Surfactant on Deformable Free Surface
Published in Microgravity science and technology (01-09-2011)“…The large-scale Marangoni convection in a liquid layer heated from below in the presence of an insoluble surfactant on its deformable free surface is…”
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