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math.AP2008★ 2 cited
A model of hydrodynamic interaction between swimming bacteria
Vitaliy Gyrya, Igor S. Aranson, Leonid V. Berlyand +1
We study the dynamics and interaction of two swimming bacteria, modeled by self-propelled dumbbell-type structures. We focus on alignment dynamics of a coplanar pair of elongated s…
math.AP2007
Solutions with Vortices of a Semi-Stiff Boundary Value Problem for the Ginzburg-Landau Equation
L. Berlyand, V. Rybalko
We study solutions of the 2D Ginzburg-Landau equation -Δu+\frac{1}{\ve^2}u(|u|^2-1)=0 subject to "semi-stiff" boundary conditions: the Dirichlet condition for the modulus, |u|=1, a…