Zobrazeno 1 - 10
of 242
pro vyhledávání: '"Jabin, Pierre Emmanuel"'
We analyse a Fokker-Planck like equation, driven by a scalar parameter in order to reach an integral constraint. We exhibit criteria guaranteeing existence-uniqueness of a solution. We also provide counter-examples. This problem is motivated by an ap
Externí odkaz:
http://arxiv.org/abs/2412.02420
This paper investigates the long time dynamics of interacting particle systems subject to singular interactions. We consider a microscopic system of $N$ interacting point particles, where the time evolution of the joint distribution $f_N(t)$ is gover
Externí odkaz:
http://arxiv.org/abs/2411.08614
The dynamics of exchangeable or spatially-structured networks of $N$ interacting stochastic neurons can be described by deterministic population equations in the mean-field limit $N\to\infty$, when synaptic weights scale as $O(1/N)$. This asymptotic
Externí odkaz:
http://arxiv.org/abs/2409.06325
We derive the spatially homogeneous Landau equation for Maxwellian molecules from a natural stochastic interacting particle system. More precisely, we control the relative entropy between the joint law of the particle system and the tensorized law of
Externí odkaz:
http://arxiv.org/abs/2408.15035
We derive a class of space homogeneous Landau-like equations from stochastic interacting particles. Through the use of relative entropy, we obtain quantitative bounds on the distance between the solution of the N-particle Liouville equation and the t
Externí odkaz:
http://arxiv.org/abs/2403.12651
This article is devoted to the long-time dynamics of point-vortex systems near thermal equilibrium and to the possible emergence of collisional relaxation. More precisely, we consider a tagged particle coupled to a large number of background particle
Externí odkaz:
http://arxiv.org/abs/2401.01940
This paper is aimed at extending the graph limit with time dependent weights obtained in [1] for the case of a pairwise competition model introduced in [10], in which the equation governing the weights involves a weak singularity at the origin. Well
Externí odkaz:
http://arxiv.org/abs/2311.11536
Autor:
Jabin, Pierre-Emmanuel, Zhou, Datong
We study the mean-field limit of a model of biological neuron networks based on the so-called stochastic integrate-and-fire (IF) dynamics. Our approach allows to derive a continuous limit for the macroscopic behavior of the system, the 1-particle dis
Externí odkaz:
http://arxiv.org/abs/2309.04046
We consider a Kantorovich potential associated to an optimal transportation problem between measures that are not necessarily absolutely continuous with respect to the Lebesgue measure, but are comparable to the Lebesgue measure when restricted to ba
Externí odkaz:
http://arxiv.org/abs/2308.10804
This paper concerns the existence of global weak solutions {\it \`a la Leray} for compressible Navier--Stokes--Fourier systems with periodic boundary conditions and the truncated virial pressure law which is assumed to be thermodynamically unstable.
Externí odkaz:
http://arxiv.org/abs/2305.07149