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arxiv: 1107.5770 · v1 · pith:HPWHRRYWnew · submitted 2011-07-28 · 🧮 math.AP

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

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keywords flux--limitedmathematicalnonlinearproblemsystemtransportarisingassociated
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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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