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

1 Scopus citations

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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10.4134/JKMS.j220424

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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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year = "2023",

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doi = "10.4134/JKMS.j220424",

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AU - Kim, Myeonghyeon

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AB - 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.

KW - Anderson-Chaplain model

KW - Angiogenesis

KW - Temporal decay

UR - https://www.scopus.com/pages/publications/85159185655

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DO - 10.4134/JKMS.j220424

M3 - Article

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JF - Journal of the Korean Mathematical Society

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ER -

Temporal decay of solutions for a chemotaxis model of angiogenesis type

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Keywords

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