Boundedness and long-time behavior in a parabolic-elliptic system arising from biological transport networks

The aim of this article is to consider a three-dimensional Cauchy problem for the parabolic-elliptic system arising from biological transport networks. For such problem, we first establish the global existence, uniqueness, and uniform boundedness of the strong solution by estimating the derivative o...

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Bibliographic Details

Published in:	Advances in Nonlinear Analysis
Main Author:	Li Bin
Format:	Article
Language:	English
Published:	De Gruyter 2024-10-01
Subjects:	parabolic-elliptic system global existence boundedness steady state 35k55 35a01 35b35 35b40 35q92
Online Access:	https://doi.org/10.1515/anona-2024-0041