4 citations · 6 across the 8 of their papers we have counts for
10 papers
First order non-instantaneous corrections in collisional kinetic alignment models
Laura Kanzler, Carmela Moschella, Christian Schmeiser
In this work the standard kinetic theory assumption of instantaneous collisions is lifted. As a continuation of of a previous paper by Kanzler, Schmeiser, and Tora [KRM, 2024], a m…
Quantitative fluid approximation in fractional regimes of transport equations with more invariants
Émeric Bouin, Laura Kanzler, Clément Mouhot
We present an extension of results in a previous paper by the first and the last author [PMP, 2022] about macroscopic limits of linear kinetic equations in (potentially) fractional…
One-dimensional short-range nearest-neighbor interaction and its nonlinear diffusion limit
Michael Fischer, Laura Kanzler, Christian Schmeiser
Repulsion between individuals within a finite radius is encountered in numerous applications, including cell exclusion, i.e. avoidance of overlapping cells, bird flocks, or microsc…
Structured Model Conserving Biomass for the Size-spectrum Evolution in Aquatic Ecosystems
Laura Kanzler, Benoit Perthame, Benoit Sarels
Mathematical modelling of the evolution of the size-spectrum dynamics in aquatic ecosystems was discovered to be a powerful tool to have a deeper insight into impacts of human- and…
Reversal Collision Dynamics
Amic Frouvelle, Laura Kanzler, Christian Schmeiser
Motivated by the study of reversal behaviour of myxobacteria, in this article we are interested in a kinetic model for reversal dynamics, in which particles with directions close t…
Boltzmann mean-field game model for knowledge growth: limits to learning and general utilities
Martin Burger, Laura Kanzler, Marie-Therese Wolfram
In this paper we investigate a generalisation of a Boltzmann mean field game (BMFG) for knowledge growth, originally introduced by the economists Lucas and Moll. In BMFG the evolut…
Two kinetic models for non-instantaneous binary alignment collisions
Laura Kanzler, Christian Schmeiser, Veronica Tora
A new type of kinetic models with non-instantaneous binary collisions is considered. Collisions are described by a transport process in the joint state space of a pair of particles…
Kinetic Model for Myxobacteria with Directional Diffusion
Laura Kanzler, Christian Schmeiser
In this article a kinetic model for the dynamics of myxobacteria colonies on flat surfaces is investigated. The model is based on the kinetic equation for collective bacteria dynam…
A forward-backward dynamical approach for nonsmooth problems with block structure coupled by a smooth function
Radu Ioan Bot, Laura Kanzler
In this paper we aim to minimize the sum of two nonsmooth (possibly also nonconvex) functions in separate variables connected by a smooth coupling function. To tackle this problem…
Kinetic Modelling of Colonies of Myxobacteria
Sabine Hittmeir, Laura Kanzler, Angelika Manhart +1
A new kinetic model for the dynamics of myxobacteria colonies on flat surfaces is derived formally, and first analytical and numerical results are presented. The model is based on…