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A review on attractive–repulsive hydrodynamics for consensus in collective behavior
This survey summarizes and illustrates the main qualitative properties of hydrodynamics
models for collective behavior. These models include a velocity consensus term together …
models for collective behavior. These models include a velocity consensus term together …
Emergent dynamics of the Cucker–Smale flocking model and its variants
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 …
mathematical structures and flocking theorems in terms of coupling strength, interaction …
Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker–Smale models
Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker–Smale
models | Mathematical Models and Methods in Applied Sciences World Scientific Search This …
models | Mathematical Models and Methods in Applied Sciences World Scientific Search This …
A hydrodynamic model for the interaction of Cucker–Smale particles and incompressible fluid
We present a new hydrodynamic model for the interactions between collision-free Cucker–
Smale flocking particles and a viscous incompressible fluid. Our proposed model consists of …
Smale flocking particles and a viscous incompressible fluid. Our proposed model consists of …
Singular cucker–smale dynamics
This chapter is dedicated to the singular models of flocking. We give an overview of the
existing literature starting from microscopic Cucker–Smale (CS) model with singular …
existing literature starting from microscopic Cucker–Smale (CS) model with singular …
[HTML][HTML] On the analysis of a coupled kinetic-fluid model with local alignment forces
This paper studies global existence, hydrodynamic limit, and large-time behavior of weak
solutions to a kinetic flocking model coupled to the incompressible Navier–Stokes …
solutions to a kinetic flocking model coupled to the incompressible Navier–Stokes …
Global well-posedness and large-time behavior for the inhomogeneous Vlasov–Navier–Stokes equations
We study the global solvability and the large-time behavior of solutions to the
inhomogeneous Vlasov–Navier–Stokes equations. When the initial data is sufficiently small …
inhomogeneous Vlasov–Navier–Stokes equations. When the initial data is sufficiently small …
Asymptotic analysis for a Vlasov–Fokker–Planck/Navier–Stokes system in a bounded domain
We study an asymptotic analysis of a coupled system of kinetic and fluid equations. More
precisely, we deal with the nonlinear Vlasov–Fokker–Planck equation coupled with the …
precisely, we deal with the nonlinear Vlasov–Fokker–Planck equation coupled with the …
[HTML][HTML] The Cauchy problem for the pressureless Euler/isentropic Navier–Stokes equations
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 …
the isentropic compressible Navier–Stokes equations where the coupling of two systems is …
Asymptotic flocking dynamics of Cucker-Smale particles immersed in compressible fluids
We propose a coupled system for the interaction between Cucker-Smale ocking particles
and viscous compressible fluids, and present a global existence theory and time-asymptotic …
and viscous compressible fluids, and present a global existence theory and time-asymptotic …