Particle Interactions Mediated by Dynamical Networks: Assessment of Macroscopic Descriptions [0.03%]
由动力学网络介导的粒子相互作用：宏观描述的评估
J Barré,J A Carrillo,P Degond et al.
J Barré et al.
We provide a numerical study of the macroscopic model of Barré et al. (Multiscale Model Simul, 2017, to appear) derived from an agent-based model for a system of particles interacting through a dynamical network of links. Assuming that the...
Alexis Arnaudon,Alex L De Castro,Darryl D Holm
Alexis Arnaudon
We derive and study stochastic dissipative dynamics on coadjoint orbits by incorporating noise and dissipation into mechanical systems arising from the theory of reduction by symmetry, including a semidirect product extension. Random attrac...
Sharp [Formula: see text] Law for the Minimizers of the Edge-Isoperimetric Problem on the Triangular Lattice [0.03%]
尖锐[公式见正文]律：三角格点上边缘等周问题最小值问题的解
Elisa Davoli,Paolo Piovano,Ulisse Stefanelli
Elisa Davoli
We investigate the edge-isoperimetric problem (EIP) for sets of n points in the triangular lattice by emphasizing its relation with the emergence of the Wulff shape in the crystallization problem. By introducing a suitable notion of perimet...
Giulio G Giusteri,Luca Lussardi,Eliot Fried
Giulio G Giusteri
The Kirchhoff-Plateau problem concerns the equilibrium shapes of a system in which a flexible filament in the form of a closed loop is spanned by a liquid film, with the filament being modeled as a Kirchhoff rod and the action of the spanni...
Darryl D Holm,Henry O Jacobs
Darryl D Holm
Vortex blob methods are typically characterized by a regularization length scale, below which the dynamics are trivial for isolated blobs. In this article, we observe that the dynamics need not be trivial if one is willing to consider distr...
Relative Equilibria in the Spherical, Finite Density Three-Body Problem [0.03%]
具有有限密度的球对称三体问题中的相对平衡解
D J Scheeres
D J Scheeres
The relative equilibria for the spherical, finite density three-body problem are identified. Specifically, there are 28 distinct relative equilibria in this problem which include the classical five relative equilibria for the point-mass thr...
Christian Bick
Christian Bick
The notion of a weak chimeras provides a tractable definition for chimera states in networks of finitely many phase oscillators. Here, we generalize the definition of a weak chimera to a more general class of equivariant dynamical systems b...
On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [0.03%]
哈密尔顿偏微分方程组中的临界现象
Boris Dubrovin,Tamara Grava,Christian Klein et al.
Boris Dubrovin et al.
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components. We argue that near the critical point of gradient...