Global boundedness to a chemotaxis system with modified nonlocal and nonlinear reaction

Basit Öğe Kaydı
dc.contributor.authorAkkoyunlu, Ebubekir
dc.date.accessioned2026-09-01T15:52:37Z
dc.date.available2026-09-01T15:52:37Z
dc.date.issued2026
dc.departmentBayburt Üniversitesi
dc.description.abstractThis 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.
dc.identifier.doi10.1080/00036811.2026.2707162
dc.identifier.issn0003-6811
dc.identifier.issn1563-504X
dc.identifier.scopus2-s2.0-105046291029
dc.identifier.scopusqualityQ2
dc.identifier.urihttp://dx.doi.org/10.1080/00036811.2026.2707162
dc.identifier.urihttps://hdl.handle.net/20.500.12403/8513
dc.identifier.wosWOS:001834437500001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAkkoyunlu, Ebubekir
dc.language.isoen
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofApplicable Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20260820
dc.subjectChemotaxis
dc.subjectGlobal Existence
dc.subjectModified Nonlocal Terms
dc.subjectNonlinear Reaction
dc.subjectBoundedness
dc.titleGlobal boundedness to a chemotaxis system with modified nonlocal and nonlinear reaction
dc.typeArticle

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu