Overview

Ordered fluids and alignment-driven systems arise in a broad range of physical and biological settings, including liquid crystals, active matter, biological collectives, and anisotropic particulate flows. Their study is inherently multiscale, spanning microscopic particle-based dynamics, mesoscopic kinetic theories, and macroscopic continuum descriptions.

This conference will highlight recent advances in the modeling, analysis, and computation of these systems across scales, with particular emphasis on the connections between kinetic formulations and their continuum counterparts.

Scientific Scope

Contributions will cover recent advances in the mathematical analysis and numerical simulation of ordered fluids and alignment-driven systems, with particular attention to anisotropic and strongly nonlinear models. Topics will include:

• Mathematical analysis of kinetic and continuum models for alignment and orientational order

• Interacting particle systems and defect formation

• Direct Simulation Monte Carlo (DSMC) methods for kinetic equations

• Finite Element Methods (FEM) for continuum PDE models

• Multiparticle Collision Dynamics (MPCD) for mesoscale fluid–particle interactions

By bringing together researchers working on kinetic theory, continuum modeling, and numerical simulation, the conference aims to encourage dialogue across scales and methodologies and to identify promising directions for future research.