On the mean‐field limit for the consensus‐based optimization
This paper is concerned with the large particle limit for the consensus‐based optimization
(CBO), which was postulated in the pioneering works by Carrillo, Pinnau, Totzeck and many …
(CBO), which was postulated in the pioneering works by Carrillo, Pinnau, Totzeck and many …
On global existence and blowup of solutions of stochastic Keller–Segel type equation
In this paper we consider a stochastic Keller–Segel type equation, perturbed with random
noise. We establish that for special types of random pertubations (ie in a divergence form) …
noise. We establish that for special types of random pertubations (ie in a divergence form) …
Global martingale weak solutions for the three-dimensional stochastic chemotaxis-Navier-Stokes system with Lévy processes
L Zhang, B Liu - Journal of Functional Analysis, 2024 - Elsevier
This paper considers the three-dimensional stochastic chemotaxis-Navier-Stokes (SCNS)
system subjected to a Lévy-type random external force in a bounded domain. Until recently …
system subjected to a Lévy-type random external force in a bounded domain. Until recently …
The one-dimensional stochastic Keller–Segel model with time-homogeneous spatial Wiener processes
E Hausenblas, D Mukherjee, T Tran - Journal of differential equations, 2022 - Elsevier
Chemotaxis is a fundamental mechanism of cells and organisms, which is responsible for
attracting microbes to food, embryonic cells into developing tissues, or immune cells to …
attracting microbes to food, embryonic cells into developing tissues, or immune cells to …
Global martingale solutions for the three-dimensional stochastic chemotaxis-Navier-Stokes system
L Zhang, B Liu - arXiv preprint arXiv:2209.06500, 2022 - arxiv.org
This paper studies the three-dimensional stochastic chemotaxis-Navier-Stokes (SCNS)
system subjected to a L\'{e} vy-type random external force in bounded domain. Up to now …
system subjected to a L\'{e} vy-type random external force in bounded domain. Up to now …
The Smoluchowski-Kramers approximation for a McKean-Vlasov equation subject to environmental noise with state-dependent friction
C Shi, Y Lv, W Wang - arXiv preprint arXiv:2403.04815, 2024 - arxiv.org
The small mass limit is derived for a McKean-Vlasov equation subject to environmental
noise with state-dependent friction. By applying the averaging approach to a non …
noise with state-dependent friction. By applying the averaging approach to a non …
Quantitative relative entropy estimates for interacting particle systems with common noise
P Nikolaev - arXiv preprint arXiv:2407.01217, 2024 - arxiv.org
We derive quantitative estimates proving the conditional propagation of chaos for large
stochastic systems of interacting particles subject to both idiosyncratic and common noise …
stochastic systems of interacting particles subject to both idiosyncratic and common noise …
Swarming models with specular boundary condition and environmental noise
We investigate a general class of models for swarming/self-collective behaviour in domains
with boundaries. The model is expressed as a stochastic system of interacting particles …
with boundaries. The model is expressed as a stochastic system of interacting particles …
Hegselmann--Krause model with environmental noise
We study a continuous-time version of the Hegelsmann--Krause model describing the
opinion dynamics of interacting agents subject to random perturbations. Mathematical …
opinion dynamics of interacting agents subject to random perturbations. Mathematical …
Stochastic 2D Keller-Segel-Navier-Stokes system with fractional dissipation and logistic source
L Zhang, B Liu - arXiv preprint arXiv:2301.02131, 2023 - arxiv.org
We study the two-dimensional Keller-Segel-Navier-Stokes system forced by a multiplicative
random noise, where the diffusion of incompressible viscous flow was generalized by a …
random noise, where the diffusion of incompressible viscous flow was generalized by a …