On a nonlinear flux--limited equation arising in the transport of morphogens
arXiv:1107.5770 · doi:10.1016/j.jde.2012.01.017
Abstract
Motivated by a mathematical model for the transport of morphogenes in biological systems, we study existence and uniqueness of entropy solutions for a mixed initial-boundary value problem associated with a nonlinear flux--limited diffusion system. From a mathematical point of view the problem behaves more as an hyperbolic system that a parabolic one.