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Publications Influence

Sharp interface limit in a phase field model of cell motility

- L. Berlyand, M. Potomkin, V. Rybalko
- Mathematics, Computer Science
- Networks Heterog. Media
- 20 September 2014

TLDR

7 2- PDF

Global Attractors for an Extensible Thermoelastic Beam System

- C. Giorgi, M. G. Naso, V. Pata, M. Potomkin
- Mathematics
- 27 January 2009

This work is focused on the dissipative system describing the dynamics of an extensible thermoelastic beam, where the dissipation is entirely contributed by the second equation ruling the evolution… Expand

34 1- PDF

Asymptotic behaviour of thermoviscoelastic Berger plate

- M. Potomkin
- Mathematics
- 27 August 2008

System of partial differential equations with a convolution terms and non-local nonlinearity describing oscillations of plate due to Berger approach and with accounting for thermal regime in terms of… Expand

21 1- PDF

Focusing of Active Particles in a Converging Flow

- M. Potomkin, A. Kaiser, L. Berlyand, I. Aranson
- Physics
- 26 July 2017

We consider active particles swimming in a convergent fluid flow in a trapezoid nozzle with no-slip walls. We use mathematical modeling to analyze trajectories of these particles inside the nozzle.… Expand

8- PDF

Fight the flow: the role of shear in artificial rheotaxis for individual and collective motion.

- R. Baker, Joshua E. Kauffman, +8 authors A. Sen
- Materials Science, Medicine
- Nanoscale
- 6 June 2019

To navigate in complex fluid environments, swimming organisms like fish or bacteria often reorient their bodies antiparallel or against the flow, more commonly known as rheotaxis. This reorientation… Expand

11

Collision of microswimmers in a viscous fluid.

- M. Potomkin, V. Gyrya, I. Aranson, L. Berlyand
- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 9 May 2013

We investigate the effects of boundary conditions on the surface of self-propelled spherical swimmers moving in a viscous fluid with a low Reynolds number. We first show that collisions between the… Expand

9- PDF

Flagella bending affects macroscopic properties of bacterial suspensions

- M. Potomkin, M. Tournus, L. Berlyand, I. Aranson
- Materials Science, Medicine
- Journal of The Royal Society Interface
- 8 October 2016

To survive in harsh conditions, motile bacteria swim in complex environments and respond to the surrounding flow. Here, we develop a mathematical model describing how flagella bending affects… Expand

4- PDF

A nonlinear transmission problem for a compound plate with thermoelastic part

- M. Potomkin
- Mathematics
- 17 March 2010

In this paper, we study a nonlinear transmission problem for a plate that consists of thermoelastic and isothermal parts. The problem generates a dynamical system in a suitable Hilbert space. The… Expand

8- PDF

Complexity Reduction in Many Particle Systems with Random Initial Data

- L. Berlyand, P. Jabin, M. Potomkin
- Computer Science, Mathematics
- SIAM/ASA J. Uncertain. Quantification
- 5 September 2013

TLDR

5- PDF

Phase-Field Model of Cell Motility: Traveling Waves and Sharp Interface Limit

- L. Berlyand, M. Potomkin, V. Rybalko
- Mathematics
- 10 April 2016

This letter is concerned with asymptotic analysis of a PDE model for motility of a eukaryotic cell on a substrate. This model was introduced in [1], where it was shown numerically that it… Expand

5- PDF

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