Existence of solution of a free boundary problem for reaction-diffusion systems
- 作者: Younes G.A.1,2, El Khatib N.3, Volpert V.A.4
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隶属关系:
- Institut Camille Jordan
- University Lyon 1
- Lebanese American University
- Peoples’ Friendship University of Russia (RUDN University)
- 期: 卷 68, 编号 4 (2022)
- 页面: 716-731
- 栏目: Articles
- URL: https://journals.rcsi.science/2413-3639/article/view/327800
- DOI: https://doi.org/10.22363/2413-3639-2022-68-4-716-731
- ID: 327800
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详细
In this paper, we prove the existence of solution of a novel free boundary problem for reaction-diffusion systems describing growth of biological tissues due to cell influx and proliferation. For this aim, we transform it into a problem with fixed boundary, through a change of variables. The new problem thus obtained has space and time dependent coeffcients with nonlinear terms. We then prove the existence of solution for the corresponding linear problem, and deduce the existence of solution for the nonlinear problem using the xed point theorem. Finally, we return to the problem with free boundary to conclude the existence of its solution.
作者简介
G. Younes
Institut Camille Jordan; University Lyon 1
编辑信件的主要联系方式.
Email: volpert@math.univ-lyon1.fr
Villeurbanne, France
N. El Khatib
Lebanese American University
Email: volpert@math.univ-lyon1.fr
Byblos, Lebanon
V. Volpert
Peoples’ Friendship University of Russia (RUDN University)
Email: volpert@math.univ-lyon1.fr
Moscow, Russia
参考
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