Inevitable monokineticity of strongly singular alignment

Fractional derivatives and integrals (26A33) Weak solutions to PDEs (35D30) Vlasov equations (35Q83) Fractional partial differential equations (35R11) Euler equations (35Q31) PDEs with measure (35R06) Singular hyperbolic equations (35L81)

Cites Work

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From the highly compressible Navier-Stokes equations to the porous medium equation -- rate of convergence
Existence of piecewise weak solutions of a discrete Cucker-Smale's flocking model with a singular communication weight
From particle to kinetic and hydrodynamic descriptions of flocking
Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment
Collision-avoiding in the singular Cucker-Smale model with nonlinear velocity couplings
The Cucker-Smale equation: singular communication weight, measure-valued solutions and weak-atomic uniqueness
Global regularity for the fractional Euler alignment system
Eulerian dynamics with a commutator forcing. III: Fractional diffusion of order \(0 < \alpha < 1\)
Eulerian dynamics with a commutator forcing. II: Flocking
Global regularity of two-dimensional flocking hydrodynamics
One dimensional singular Cucker-Smale model: uniform-in-time mean-field limit and contractivity
Mean-field limits: from particle descriptions to macroscopic equations
Geometric structure of mass concentration sets for pressureless Euler alignment systems
Global existence and stability of nearly aligned flocks
A simple proof of the Cucker-Smale flocking dynamics and mean-field limit
Sharp conditions to avoid collisions in singular Cucker-Smale interactions
Anticipation breeds alignment
Critical thresholds in 1D Euler equations with non-local forces
Hydrodynamic limit of granular gases to pressureless Euler in dimension 1
Critical thresholds in flocking hydrodynamics with non-local alignment
A WELL-POSEDNESS THEORY IN MEASURES FOR SOME KINETIC MODELS OF COLLECTIVE MOTION
Discrete Cucker--Smale Flocking Model with a Weakly Singular Weight
Density-induced consensus protocol
Eulerian dynamics with a commutator forcing
Regular solutions to the fractional Euler alignment system in the Besov spaces framework
The global Cauchy problem for compressible Euler equations with a nonlocal dissipation
Weak and strong solutions to the forced fractional Euler alignment system
Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
On the Euler-alignment system with weakly singular communication weights
Asymptotic Behavior and Collision Avoidance in the Cucker–Smale Model
Singular Cucker–Smale Dynamics
Topologically Based Fractional Diffusion and Emergent Dynamics with Short-Range Interactions
Singularity formation for the fractional Euler-alignment system in 1D
Hydrodynamic limit of the kinetic Cucker–Smale flocking model
Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker–Smale models
Emergent Behavior in Flocks
Dynamics and Analysis of Alignment Models of Collective Behavior
Swarming: hydrodynamic alignment with pressure
Heterogeneous gradient flows in the topology of fibered optimal transport
Local well-posedness for the kinetic Cucker-Smale model with super-Coulombic communication weights
Hierarchies, entropy, and quantitative propagation of chaos for mean field diffusions