0000000000597986

AUTHOR

Michela Verbeni

0000-0002-6627-3920

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QUALITATIVE PROPERTIES OF THE SOLUTIONS OF A NONLINEAR FLUX-LIMITED EQUATION ARISING IN THE TRANSPORT OF MORPHOGENS

2011

In this paper we study some qualitative properties of the solutions of a nonlinear flux-limited equation arising in the transport of morphogens in biological systems. Questions related to the existence of steady states, the finite speed of propagating fronts or the regularization in the interior of the support are studied from analytical and numerical points of view.

Nonlinear parabolic equationsNonlinear systemApplied MathematicsModeling and SimulationRegularization (physics)Mathematical analysisHeat equationMathematicsMathematical Models and Methods in Applied Sciences
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