On a nonlinear flux--limited equation arising in the transport of morphogens

Details On a nonlinear flux--limited equation arising in the transport of morphogens On a nonlinear flux--limited equation arising in the transport of morphogens

2011-07-28

arxiv.org/abs/1107.5770v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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