195 citations · 494 across the 56 of their papers we have counts for
11 papers · 2 filters
Propagation of chaos for aggregation equations with no-flux boundary conditions and sharp sensing zones
Young-Pil Choi, Samir Salem
We consider a -particle interacting particle system with the vision geometrical constraints and reflected noises, proposed as a model for collective behavior of individuals. We…
Cucker-Smale model with normalized communication weights and time delay
Young-Pil Choi, Jan Haskovec
We study a Cucker-Smale-type system with time delay in which agents interact with each other through normalized communication weights. We construct a Lyapunov functional for the sy…
Global classical solutions and large-time behavior of the two-phase fluid model
Young-Pil Choi
We study the global existence of a unique strong solution and its large-time behavior of a two-phase fluid system consisting of the compressible isothermal Euler equations coupled…
Finite-time blow-up phenomena of Vlasov/Navier-Stokes equations and related systems
Young-Pil Choi
This paper deals with the finite-time blow-up phenomena of classical solutions for Vlasov/Navier-Stokes equations under suitable assumptions on the initial configurations. We show…
A revisit to the large-time behavior of the Vlasov/compressible Navier-Stokes equations
Young-Pil Choi
We establish the large-time behavior for the coupled kinetic-fluid equations. More precisely, we consider the Vlasov equation coupled to the compressible isentropic Navier-Stokes e…
A review on attractive-repulsive hydrodynamics for consensus in collective behavior
José A. Carrillo, Young-Pil Choi, Sergio P. Perez
This survey summarizes and illustrates the main qualitative properties of hydrodynamics models for collective behavior. These models include a velocity consensus term together with…
Global classical solutions of the Vlasov-Fokker-Planck equation with local alignment forces
Young-Pil Choi
In this paper, we are concerned with the global well-posedness and time-asymptotic decay of the Vlasov-Fokker-Planck equation with local alignment forces. The equation can be forma…
On the pressureless damped Euler-Poisson equations with non-local forces: Critical thresholds and large-time behavior
José A. Carrillo, Young-Pil Choi, Ewelina Zatorska
We analyse the one-dimensional pressureless Euler-Poisson equations with a linear damping and non-local interaction forces. These equations are relevant for modelling collective be…
Emergent dynamics of the Cucker-Smale flocking model and its variants
Young-Pil Choi, Seung-Yeal Ha, Zhuchun Li
In this chapter, we present the Cucker-Smale type flocking models, and discuss their mathematical structures and flocking theorems in terms of coupling strength, interaction topolo…
The Cauchy problem for the pressureless Euler/isentropic Navier-Stokes equations
Young-Pil Choi, Bongsuk Kwon
We present a new hydrodynamic model consisting of the pressureless Euler equations and the isentropic compressible Navier-Stokes equations where the coupling of two systems is thro…
An analytical framework for a consensus-based global optimization method
José A. Carrillo, Young-Pil Choi, Claudia Totzeck +1
In this paper we provide an analytical framework for investigating the efficiency of a consensus-based model for tackling global optimization problems. This work justifies the opti…