1 citations · 2 across the 7 of their papers we have counts for
7 papers
Measure-based approach to mesoscopic modeling of optimal transportation networks
Jan Haskovec, Peter Markowich, Simone Portaro
We propose a mesoscopic modeling framework for optimal transportation networks with biological applications. The network is described in terms of a joint probability measure on the…
Self-regulated biological transportation structures with general entropy dissipations, part I: the 1D case
Clarissa Astuto, Jan Haskovec, Peter Markowich +1
We study self-regulating processes modeling biological transportation networks as presented in \cite{portaro2023}. In particular, we focus on the 1D setting for Dirichlet and Neuma…
Optimal condition for asymptotic consensus in the Hegselmann-Krause model with finite speed of information propagation
Jan Haskovec, Mauro Rodriguez Cartabia
We prove that asymptotic global consensus is always reached in the Hegselmann-Krause model with finite speed of information propagation under minimal (i.e., necess…
Cucker-Smale model with finite speed of information propagation: well-posedness, flocking and mean-field limit
Jan Haskovec
We study a variant of the Cucker-Smale model where information between agents propagates with a finite speed . This leads to a system of functional differential equ…
On Cucker-Smale model with noise and delay
Radek Erban, Jan Haskovec, Yongzheng Sun
A generalization of the Cucker-Smale model for collective animal behaviour is investigated. The model is formulated as a system of delayed stochastic differential equations. It inc…
Mathematical Analysis of a System for Biological Network Formation
Jan Haskovec, Peter Markowich, Benoit Perthame
Motivated by recent physics papers describing rules for natural network formation, we study an elliptic-parabolic system of partial differential equations proposed by Hu and Cai. T…