Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
This paper presents a review and critical analysis on the modeling of the dynamics of
vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It …
vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It …
On the asymptotic theory from microscopic to macroscopic growing tissue models: An overview with perspectives
N Bellomo, A Bellouquid, J Nieto… - Mathematical Models and …, 2012 - World Scientific
This paper proposes a review and critical analysis of the asymptotic limit methods focused
on the derivation of macroscopic equations for a class of equations modeling complex …
on the derivation of macroscopic equations for a class of equations modeling complex …
[图书][B] Kinetic models for chemotaxis and their drift-diffusion limits
FACC Chalub, PA Markowich, B Perthame… - 2004 - Springer
Kinetic models for chemotaxis, nonlinearly coupled to a Poisson equation for the
chemoattractant density, are considered. Under suitable assumptions on the turning kernel …
chemoattractant density, are considered. Under suitable assumptions on the turning kernel …
A new approach to the mean-field limit of Vlasov-Fokker-Planck equations
This article introduces a novel approach to the mean-field limit of stochastic systems of
interacting particles, leading to the first ever derivation of the mean-field limit to the Vlasov …
interacting particles, leading to the first ever derivation of the mean-field limit to the Vlasov …
Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems
N Bellomo, A Bellouquid, J Nieto… - Mathematical Models and …, 2010 - World Scientific
This paper deals with the derivation of macroscopic tissue models from the underlying
description delivered by a class of equations that models binary mixtures of multicellular …
description delivered by a class of equations that models binary mixtures of multicellular …
Hydrodynamic limit for the Vlasov-Navier-Stokes equations. Part I: Light particles regime
The paper is devoted to the analysis of a hydrodynamic limit for the Vlasov-Navier-Stokes
equations. This system is intended to model the evolution of particles interacting with a fluid …
equations. This system is intended to model the evolution of particles interacting with a fluid …
Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker–Smale models
Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker–Smale
models Page 1 Mathematical Models and Methods in Applied Sciences Vol. 27, No. 6 (2017) …
models Page 1 Mathematical Models and Methods in Applied Sciences Vol. 27, No. 6 (2017) …
Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format
We apply the tensor train (TT) decomposition to construct the tensor product polynomial
chaos expansion (PCE) of a random field, to solve the stochastic elliptic diffusion PDE with …
chaos expansion (PCE) of a random field, to solve the stochastic elliptic diffusion PDE with …
High-field limit for the Vlasov-Poisson-Fokker-Planck system
J Nieto, F Poupaud, J Soler - Archive for rational mechanics and analysis, 2001 - Springer
This paper is concerned with the analysis of the stability of the Vlasov-Poisson-Fokker-
Planck system with respect to the physical constants. If the scaled thermal mean free path …
Planck system with respect to the physical constants. If the scaled thermal mean free path …
Multicellular biological growing systems: Hyperbolic limits towards macroscopic description
This paper deals with the analysis of the asymptotic limit towards the derivation of hyperbolic
macroscopic equations for a class of equations modeling complex multicellular systems …
macroscopic equations for a class of equations modeling complex multicellular systems …