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RESEARCH PRODUCT
On a nonlinear flux-limited equation arising in the transport of morphogens
José M. MazónJuan SolerJuan Carlos Llodra CalvoFuensanta Andreusubject
Nonlinear systemMathematics - Analysis of PDEsApplied MathematicsMathematical analysisFOS: MathematicsUniquenessHyperbolic systemsAnalysisMathematicsAnalysis of PDEs (math.AP)description
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-05-01 | Journal of Differential Equations |