89 citations · 135 across the 11 of their papers we have counts for
4 papers · 1 filter
Hyperbolicity and non-conservativity of a hydrodynamic model of swarming rigid bodies
Pierre Degond, Amic Frouvelle, Sara Merino-Aceituno +1
In this paper, we study a nonlinear system of first order partial differential equations describing the macroscopic behavior of an ensemble of interacting self-propelled rigid bodi…
Multi-species viscous models for tissue growth: incompressible limit and qualitative behaviour
Pierre Degond, Sophie Hecht, Michèle Romanos +1
We introduce two 2D mechanical models reproducing the evolution of two viscous tissues in contact. Their main property is to model the swirling cell motions while keeping the tissu…
Global smooth solutions for triangular reaction-cross diffusion systems
Jessica Guerand, Angeliki Menegaki, Ariane Trescases
For a class of reaction cross-diffusion systems of two equations with a cross-diffusion term in the first equation and with self-diffusion terms, we prove that the unique local smo…
Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing
Laurent Desvillettes, Philippe Laurençot, Ariane Trescases +1
New estimates and global existence results are provided for a class of systems of cross diffusion equations arising from the modeling of chemotaxis with local sensing, possibly fea…