JOURNAL ARTICLE

Study on a growth-expansion model with chemotaxis in nutrient-replete environments.

Published In: Mathematical Models & Methods in Applied Sciences, 2024, v. 34, n. 13. P. 2469 1 of 3
Database: Academic Search Ultimate 2 of 3
Authored By: Zhang, Qingshan 3 of 3

Abstract

We consider the no-flux initial-boundary value problem for the growth-expansion model with chemotaxis in nutrient-replete environments in smoothly bounded domains Ω ⊂ ℝ n . It is shown that if n = 1 or if n = 2 under some structural assumptions on parameter functions therein, for any suitably regular initial data the problem admits a unique global bounded classical solution. For any dimensions n ≥ 3 , we also prove that the problem has a unique global classical solution which is bounded under a small assumption on the initial data. Moreover, we obtain that these solutions stabilize to a uniquely determined spatially uniform equilibrium. We also provide exponential rates of convergence of solutions in a special case. [ABSTRACT FROM AUTHOR]

Additional Information

Source:Mathematical Models & Methods in Applied Sciences. 2024/12, Vol. 34, Issue 13, p2469
Document Type:Article
Subject Area:Science
Publication Date:2024
ISSN:0218-2025
DOI:10.1142/S0218202524500520
Accession Number:180829143
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