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.
On a singular limit as $$\theta \rightarrow 0$$ for a model for the evolution of morphogens in a growing tissue / Coclite, G. M.; Coclite, M.. - In: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. - ISSN 0044-2275. - STAMPA. - 74:3(2023), pp. 1-23. [10.1007/s00033-023-01993-z]
On a singular limit as $$\theta \rightarrow 0$$ for a model for the evolution of morphogens in a growing tissue
Coclite, G. M.
;
2023-01-01
Abstract
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.File in questo prodotto:
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