Local sensing and nonlinear diffusion in models of chemotactic aggregation
By Ariane Trescases
Spatial mean-field models in neuroscience and the modelling of noisy grid cells
By Pierre Roux
Appears in collection : Vorticity, rotation and symmetry (III) - approaching limiting cases of fluid flows / Vorticité, rotation et symétrie (III) – analyse des situations limites en théorie des fluides
We discuss some stability problems related to the Navier-Stokes-Fourier system describing the motion of a compressible, viscous, and heat conducting fluids. We introduce the concept of relative entropy/energy and present some applications that concern: - Existence and conditional regularity of weak solutions; - singular limits; - existence and regularity for the inviscid system.