Boundedness in a attraction-repulsion chemotaxis system with nonlinear production
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We study the quasilinear attraction-repulsion chemotaxis system of parabolic-elliptic type u<inf>t</inf> = ?u???·(u??)+??·(u??) with nonlinear production 0 = ?? ??? +?us, 0 = ?? ??? +?ur, subject to the homogeneous Neumann boundary conditions in a bounded domain ? ? ?N (N ? 3) with smooth boundary. It is proved that for every ?, ?, ?, ?, ?, ? > 0 and s ? N2,r > N?2/N s, there exists ?? > 0 such that if ? > ?? and any sufficiently regular initial datum u<inf>0</inf>(x) ? 0, then the model has a unique global classical solution (u, ?, ?), which is bounded in ? × (0, ?). © 2024, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.
Açıklama
Anahtar Kelimeler
Boundedness, chemotaxis, nonlinear production
Kaynak
Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
44
Sayı
4
