On a nonlinear flux--limited equation arising in the transport of   morphogens
  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. 
Fuensanta Andreu, Juan Calvo, Jos\'e M. Maz\'on, Juan Soler
math.AP