6533b826fe1ef96bd12845b0

RESEARCH PRODUCT

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

Juan SolerJosé M. MazónJuan Carlos Llodra CalvoMichela Verbeni

subject

Nonlinear parabolic equationsNonlinear systemApplied MathematicsModeling and SimulationRegularization (physics)Mathematical analysisHeat equationMathematics

description

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.

yearjournalcountryeditionlanguage
2011-04-01Mathematical Models and Methods in Applied Sciences
https://doi.org/10.1142/s0218202511005416