Boundedness in a parabolic-elliptic chemotaxis system with logistic source involving the exponents depending on the spatial variables and nonlinear signal productions
Küçük Resim Yok
Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper considers the global boundedness of solutions to the parabolic-elliptic chemotaxis system with a logistic source involving exponents that depend on spatial variables and nonlinear signal production: {u(t) = u-chi del . (u del upsilon) + u (eta - mu u(alpha(x))) , (x, t) is an element of Omega x (0, T), 0 = upsilon - upsilon + u sigma, (x, t) is an element of Omega x (0, T), where eta >= 0, mu, sigma > 0, and alpha : Omega -> (0, infinity) is a measurable function, subject to the homogeneous Neumann boundary conditions in a if either sigma < max {ess inf(x is an element of Omega) alpha (x) , 2 bounded domain R-N (N >= 1) with smooth boundary. We prove that }, chi > 0 or ess inf(x is an element of Omega) alpha (x) < N sigma chi>0 or sigma=essinfx is an element of Omega alpha(x)>= (2)/(N) with mu > (N sigma -2)/ (N sigma) chi, chi > 0 or chi<0, then the above system possesses a unique global bounded classical solution.
Açıklama
Anahtar Kelimeler
Parabolic-elliptic chemotaxis system, logistic source involving the exponents depending on the spatial variables, nonlinear signal production, boundedness
Kaynak
Applicable Analysis
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
