On a singular limit as ?? 0 for a model for the evolution of morphogens in a growing tissue

被引：0

作者：

Coclite, G. M. ^{[1
]}

Coclite, M. ^{[2
]}

机构：

[1] Politecn Bari, Dipartimento Meccan Matemat & Management, Via E Orabona 4, I-70125 Bari, Italy

[2] Univ Bari, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari, Italy

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2023年 / 74卷 / 03期

关键词：

Singular diffusion; Neumann boundary conditions; Singular limit; Morphogen evolution; PATTERN; GROWTH;

D O I：

10.1007/s00033-023-01993-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the singular limit of a model for the regulation of growth and patterning in developing tissues by diffusing morphogens. The model is governed by a system of nonlinear PDEs. The arguments are based on energy estimates and a change of variable that reduces the system into a nonlinear PDE with singular diffusion.

引用

页数：23

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