On a nonlinear flux-limited equation arising in the transport of morphogens |
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| Authors: | F Andreu J Calvo JM Mazón J Soler |
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| Institution: | 1. Departamento de Análisis Matemático, Universitat de València, Valencia, Spain;2. Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain |
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| Abstract: | Motivated by a mathematical model for the transport of morphogens 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 a hyperbolic system than a parabolic one. |
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