Global existence and uniqueness of solutions to a parabolic haptotaxis model
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
We are dealing with the the models suggested by M.A.J and all Chaplain and all, [2, 3]. We prove existence ? and uniqueness of a local in time solution to the problem. Next, the problem is whether the solution blows-up in finite time or not. The answer depends on the choice of the initial data. Indeed, we can find in the literature examples of solutions blowing-up in finite time under appropriate initial data. In this work, we give sufficient conditions avoiding the blow-up of the solution so that the solution is global in time.
Açıklama
Anahtar Kelimeler
Quasilinear parabolic equations, Nonlinear parabolic problems, Reaction-diffusion systems, ChemotaxisHaptoaxis
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Aissa, N. ve Tsmada, H. (2019). Global existence and uniqueness of solutions to a parabolic haptotaxis model. International Conference of Mathematical Sciences (ICMS 2019). s. 51.
