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7 papers · 2 filters
A continuum model for alignment of self-propelled particles with anisotropy and density-dependent parameters
Amic Frouvelle
We consider the macroscopic model derived by Degond and Motsch from a time-continuous version of the Vicsek model, describing the interaction orientation in a large number of self-…
On polynomial integrals over the orthogonal group
Teodor Banica, Benoit Collins, Jean-Marc Schlenker
We consider integrals of type , with respect to the Haar measure on the orthogonal group. We establish severa…
All speed scheme for the low mach number limit of the Isentropic Euler equation
Pierre Degond, Min Tang
An all speed scheme for the Isentropic Euler equation is presented in this paper. When the Mach number tends to zero, the compressible Euler equation converges to its incompressibl…
Congestion in a macroscopic model of self-driven particles modeling gregariousness
Pierre Degond, Laurent Navoret, Richard Bon +1
We analyze a macroscopic model with a maximal density constraint which describes short range repulsion in biological systems. This system aims at modeling finite-size particles whi…
A Multiscale Kinetic-Fluid Solver with Dynamic Localization of Kinetic Effects
Pierre Degond, Giacomo Dimarco, Luc Mieussens
This paper collects the efforts done in our previous works [P. Degond, S. Jin, L. Mieussens, A Smooth Transition Between Kinetic and Hydrodynamic Equations, J. Comp. Phys., 209 (20…
Causality Analysis of Frequency Dependent Wave Attenuation
Kowar Richard, Scherzer Otmar, Bonnefond Xavier
The work is inspired by thermo-and photoacoustic imaging, where recent efforts are devoted to take into account attenuation and varying wave speed parameters. In this paper we deri…