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Sharp interface limit in a phase field model of cell motility
TLDR
We study the asymptotic behavior of solutions in the limit of a small parameter related to the width of the interface in phase field function (sharp interface limit). Expand
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Global Attractors for an Extensible Thermoelastic Beam System
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 evolutionExpand
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Asymptotic behaviour of thermoviscoelastic Berger plate
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 ofExpand
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Focusing of Active Particles in a Converging Flow
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
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Fight the flow: the role of shear in artificial rheotaxis for individual and collective motion.
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 reorientationExpand
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Collision of microswimmers in a viscous fluid.
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 theExpand
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Flagella bending affects macroscopic properties of bacterial suspensions
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 affectsExpand
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A nonlinear transmission problem for a compound plate with thermoelastic part
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. TheExpand
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Complexity Reduction in Many Particle Systems with Random Initial Data
TLDR
A computational approach based on the truncation of the BBGKY hierarchy that allows one to go beyond the classical Mean Field limit and capture correlations in the collective state (patterns due to strong interactions). Expand
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Phase-Field Model of Cell Motility: Traveling Waves and Sharp Interface Limit
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 itExpand
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