Global boundedness to a chemotaxis system with modified nonlocal and nonlinear reaction
Küçük Resim Yok
Tarih
2026
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper deals with the following Neumann initial-boundary value problem{u(t)=Delta u-del center dot(u del upsilon)+u(gamma)-u(alpha)(integral(Omega)u(beta))(m), x is an element of Omega,t is an element of(0,T-max),upsilon(t)=Delta upsilon-upsilon+u(eta), x is an element of Omega, t is an element of(0,T-max),where Omega subset of R-N (N >= 2) is a bounded domain with smooth boundary, 0< m <= 1 , m beta >= 1 ,1<gamma <=alpha , and eta>0 . The initial data satisfyu(0),upsilon(0)is an element of W-1,W-infinity(Omega),where u(0)>= 0 , upsilon(0)>= 0 , and partial derivative(nu)u(0)=partial derivative(nu)upsilon(0)=0 on partial derivative Omega. We rigorously prove that the problem admits a unique global classical solution which is uniformly bounded in time if one of the following conditions holds:alpha+m beta >(N+2)gamma-N/2when gamma >=eta+1, or alpha+m beta >(N+2)eta+2/2when gamma >=eta+1.
Açıklama
Anahtar Kelimeler
Chemotaxis, Global Existence, Modified Nonlocal Terms, Nonlinear Reaction, Boundedness
Kaynak
Applicable Analysis
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
