Zobrazeno 1 - 10
of 790
pro vyhledávání: '"P. Degond"'
Autor:
Degond, Pierre, Liu, Jian-Guo
We investigate a kinetic model for interacting particles whose masses are integer multiples of an elementary mass. These particles undergo binary collisions which preserve momentum and energy but during which some number of elementary masses can be e
Externí odkaz:
http://arxiv.org/abs/2401.04562
We study the validity of the dissipative Aw-Rascle system as a macroscopic model for pedestrian dynamics. The model uses a congestion term (a singular diffusion term) to enforce capacity constraints in the crowd density while inducing a steering beha
Externí odkaz:
http://arxiv.org/abs/2401.08630
This paper deals with the problem of simulating dense dispersed systems composed by large numbers of particles undergoing ballistic aggregation. The most classical approaches for dealing with such problems are represented by the so-called event-drive
Externí odkaz:
http://arxiv.org/abs/2309.09523
Autor:
Degond, Pierre, Frouvelle, Amic
We consider self-propelled rigid-bodies interacting through local body-attitude alignment modelled by stochastic differential equations. We derive a hydrodynamic model of this system at large spatio-temporal scales and particle numbers in any dimensi
Externí odkaz:
http://arxiv.org/abs/2307.15560
Autor:
Degond, Pierre, Diez, Antoine
We investigate a new class of topological travelling-wave solutions for a macroscopipc swarmalator model involving force non-reciprocity. Swarmalators are systems of self-propelled particles endowed with a phase variable. The particles are subject to
Externí odkaz:
http://arxiv.org/abs/2307.14738
Autor:
Chassonnery, Pauline, Paupert, Jenny, Lorsignol, Anne, Sévérac, Childérick, Ousset, Marielle, Degond, Pierre, Casteilla, Louis, Peurichard, Diane
The Extra-Cellular-Matrix (ECM) is a complex interconnected 3D network that provides structural support for the cells and tissues and defines organ architecture key for their healthy functioning. However, the intimate mechanisms by which ECM acquire
Externí odkaz:
http://arxiv.org/abs/2307.10859
We present a general framework for modelling the dynamics of limit order books, built on the combination of two modelling ingredients: the order flow, modelled as a general spatial point process, and market clearing, modelled via a deterministic mass
Externí odkaz:
http://arxiv.org/abs/2302.01169
Autor:
Degond, Pierre
The Laplacian on the rotation group is invariant by conjugation. Hence, it maps class functions to class functions. A maximal torus consists of block diagonal matrices whose blocks are planar rotations. Class functions are determined by their values
Externí odkaz:
http://arxiv.org/abs/2302.00749
We consider a system of particles which interact through a jump process. The jump intensities are functions of the proximity rank of the particles, a type of interaction referred to as topological in the literature. Such interactions have been shown
Externí odkaz:
http://arxiv.org/abs/2212.08884
In this paper, we consider a system of partial differential equations modeling the evolution of a landscape. A ground surface is eroded by the flow of water over it, either by sedimentation or dilution. The system is composed by three evolution equat
Externí odkaz:
http://arxiv.org/abs/2211.09629