Zobrazeno 1 - 10
of 262
pro vyhledávání: '"Schmeiser, Christian"'
The Vicsek-BGK equation is a kinetic model for alignment of particles moving with constant speed between stochastic reorientation events with sampling from a von Mises distribution. The spatially homogeneous model shows a steady state bifurcation wit
Externí odkaz:
http://arxiv.org/abs/2404.00347
Repulsion between individuals within a finite radius is encountered in numerous applications, including cell exclusion, i.e. avoidance of overlapping cells, bird flocks, or microscopic pedestrian models. We define such individual based particle dynam
Externí odkaz:
http://arxiv.org/abs/2302.12099
Recent biological experiments have shown that certain types of cells are able to move in structured and confined environment even without the activation of focal adhesion. Focusing on this particular phenomenon and based on previous works, we derive
Externí odkaz:
http://arxiv.org/abs/2212.01087
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 to be opposite undergo binary collision resulting in reversing their or
Externí odkaz:
http://arxiv.org/abs/2209.11413
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. The interactions are of alignment type, where the states of the part
Externí odkaz:
http://arxiv.org/abs/2203.15711
Autor:
Kanzler, Laura, Schmeiser, Christian
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 dynamics introduced in arXiv:2001.02711, which is based on the assumption o
Externí odkaz:
http://arxiv.org/abs/2109.13184
Autor:
Carrapatoso, Kleber, Dolbeault, Jean, Hérau, Frédéric, Mischler, Stéphane, Mouhot, Clément, Schmeiser, Christian
We study linear inhomogeneous kinetic equations with an external confining potential and a collision operator admitting several local conservation laws (local density, momentum and energy). We classify all special macroscopic modes (stationary soluti
Externí odkaz:
http://arxiv.org/abs/2105.04855
A reaction-kinetic model for a two-species gas mixture undergoing pair generation and recombination reactions is considered on a flat torus. For dominant scattering with a non-moving constant-temperature background the macroscopic limit to a reaction
Externí odkaz:
http://arxiv.org/abs/2012.15622
This paper is dealing with two $L^2$ hypocoercivity methods based on Fourier decomposition and mode-by-mode estimates, with applications to rates of convergence or decay in kinetic equations on the torus and on the whole Euclidean space. The main ide
Externí odkaz:
http://arxiv.org/abs/2012.09103
The thermalization of a gas towards a Maxwellian velocity distribution with the background temperature is described by a kinetic relaxation model. The sum of the kinetic energy of the gas and the thermal energy of the background are conserved, and th
Externí odkaz:
http://arxiv.org/abs/2012.07503