Search
Search Results
-
Kinetic and Macroscopic Epidemic Models in Presence of Multiple Heterogeneous Populations
We study the impact of contact heterogeneity on epidemic dynamics. A system characterized by multiple susceptible populations is considered. The...
-
Anomalous diffusion limit for a kinetic equation with a thermostatted interface
We consider the limit of solutions of scaled linear kinetic equations with a reflection-transmission-killing condition at the interface. Both the...
-
Kinetic Equation for Soliton Gas: Integrable Reductions
Macroscopic dynamics of soliton gases can be analytically described by the thermodynamic limit of the Whitham equations, yielding an...
-
Derivation of Macroscopic Equations from Homogeneous Thermostatted Kinetic Equations in the Cancer-Immune System Competition
A model of interactions between cancer cells and immune system cells is considered in the framework of thermostatted kinetic theory. Each cell is...
-
Vlasov Equation for Phonons and its Macroscopic Consequences
AbstractCorrections to the harmonic approximation are obtained for the first order of the theory of hyperelasticity in the relaxation approximation...
-
A Local Macroscopic Conservative (LoMaC) Low Rank Tensor Method with the Discontinuous Galerkin Method for the Vlasov Dynamics
In this paper, we propose a novel Local Macroscopic Conservative (LoMaC) low rank tensor method with discontinuous Galerkin (DG) discretization for...
-
From Kinetic to Macroscopic Models and Back
We study kinetic models for traffic flow characterized by the property of producing backward propagating waves. These waves may be identified with...
-
Data-driven uncertainty quantification in macroscopic traffic flow models
We propose a Bayesian approach for parameter uncertainty quantification in macroscopic traffic flow models from cross-sectional data. We consider...
-
Hybrid Kinetic/Fluid Numerical Method for the Vlasov-Poisson-BGK Equation in the Diffusive Scaling
This shortLaidin, Tino noteRey, Thomas presents an extension of the hybrid, model-adaptation method introduced in T. Laidin, ar**v 2202.03696, 2022...
-
An Entropic Kinetic Scheme with Compactly Supported Velocities
We introduce a new kinetic model where the equilibrium distribution function has a range of velocities centered about two velocities (...
-
Regularity Estimates and Open Problems in Kinetic Equations
We survey some new results regarding a priori regularity estimates for the Boltzmann and Landau equations conditional to the boundedness of the...
-
The Bloch–Torrey Limit of a Kinetic Transport System
This work is devoted to highlighting the diffusion of some models of Kinetic–Bloch system by an asymptotic analysis. The limit of the kinetic...
-
Description of Turbulent Flows Using a Kinetic Model
AbstractA closed system of equations for describing turbulent flows is obtained. Additional equations for the cross pulsation moments
... 
-
Gas-Kinetic Methods for Turbulent Flow
Gas-kinetic schemes are derived from the BGK-Boltzmann equation. These family of schemes for CFD are computationally more demanding than conventional...
-
Numerical Study of the Volcano Effect in Chemotactic Aggregation Based on a Kinetic Transport Equation with Non-instantaneous Tumbling
Aggregation of chemotactic bacteria under a unimodal distribution of chemical cues was investigated by Monte Carlo (MC) simulation based on a kinetic...
-
A Study of Multiscale Kinetic Models with Uncertainties
There have been many challenges in studying multiscale kinetic models with uncertainties. Quantifying uncertainties in the models such as arisen from...
-
On a hybrid continuum-kinetic model for complex fluids
In the present work, we first introduce a general framework for modelling complex multiscale fluids and then focus on the derivation and analysis of...
-
Kinetic Models for Epidemic Dynamics in the Presence of Opinion Polarization
Understanding the impact of collective social phenomena in epidemic dynamics is a crucial task to effectively contain the disease spread. In this...
-
Quantitative Derivation of the Euler–Poisson Equation from Quantum Many-Body Dynamics
We study the three dimensional quantum many-body dynamics with repulsive Coulomb interaction in the mean-field setting. The Euler–Poisson equation is...
-
Breaking Consensus in Kinetic Opinion Formation Models on Graphons
In this work, we propose and investigate a strategy to prevent consensus in kinetic models for opinion formation. We consider a large interacting...
