期刊
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
卷 21, 期 -, 页码 893-937出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202511005416
关键词
Morphogenesis; heat equation; flux-limited equations; optimal mass transportation; WENO methods; nonlinear parabolic equations; porous media equations
资金
- Ministerio de Ciencia e Innovacion (Spain)
- FEDER [MTM2008-03176, MTM2008-05271]
- Junta de Andalucia [P08-FQM-4267]
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.
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