Temporal decay of solutions for a chemotaxis model of angiogenesis type

Jaewook Ahn; Myeonghyeon Kim

doi:10.4134/JKMS.j220424

Temporal decay of solutions for a chemotaxis model of angiogenesis type

Jaewook Ahn, Myeonghyeon Kim

Department of Mathematics

Kyungsung University

Research output: Contribution to journal › Article › peer-review

Abstract

This paper considers a parabolic-hyperbolic-hyperbolic type chemotaxis system in R^d, d ≥ 3, describing tumor-induced angiogenesis. The global existence result and temporal decay estimate for a unique mild solution are established under the assumption that some Sobolev norms of initial data are sufficiently small.

Original language	English
Pages (from-to)	619-634
Number of pages	16
Journal	Journal of the Korean Mathematical Society
Volume	60
Issue number	3
DOIs	https://doi.org/10.4134/JKMS.j220424
State	Published - May 2023

Keywords

Anderson-Chaplain model
Angiogenesis
Temporal decay

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title = "Temporal decay of solutions for a chemotaxis model of angiogenesis type",

abstract = "This paper considers a parabolic-hyperbolic-hyperbolic type chemotaxis system in Rd, d ≥ 3, describing tumor-induced angiogenesis. The global existence result and temporal decay estimate for a unique mild solution are established under the assumption that some Sobolev norms of initial data are sufficiently small.",

keywords = "Anderson-Chaplain model, Angiogenesis, Temporal decay",

author = "Jaewook Ahn and Myeonghyeon Kim",

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KW - Temporal decay

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Temporal decay of solutions for a chemotaxis model of angiogenesis type

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Keywords

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