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arXiv · 1107.5770

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

Fuensanta Andreu·Juan Calvo·José M. Mazón·Juan Soler
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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.

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Fuensanta Andreu, Juan Calvo, José M. Mazón, Juan Soler. 2011-07-28. On a nonlinear flux--limited equation arising in the transport of morphogens. https://doi.org/10.1016/j.jde.2012.01.017

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