3 papers
math.DS2020
Exponential asymptotic flocking in the Cucker-Smale model with distributed reaction delays
Jan Haskovec, Ioannis Markou
We study a variant of the Cucker-Smale system with distributed reaction delays. Using backward-forward and stability estimates on the quadratic velocity fluctuations we derive suff…
math.CA2018
Collision-avoiding in the singular Cucker-Smale model with nonlinear velocity couplings
Ioannis Markou
Collision avoidance is an interesting feature of the Cucker-Smale (CS) model of flocking that has been studied in many works, e.g. [1, 2, 4, 6, 7, 20, 21, 22]. In particular, in th…
math.AP2018
Hydrodynamic Limit for a Fokker-Planck Equation with Coefficients in Sobolev Spaces
Ioannis Markou
In this paper we study the hydrodynamic (small mass approximation) limit of a Fokker-Planck equation. This equation arises in the kinetic description of the evolution of a particle…