Quenching behavior of a semilinear reaction-diffusion system with singular boundary condition
Küçük Resim Yok
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tubitak Scientific & Technological Research Council Turkey
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we study the quenching behavior of the solution of a semilinear reaction-diffusion system with singular boundary condition. We first get a local exisence result. Then we prove that the solution quenches only on the right boundary in finite time and the time derivative blows up at the quenching time under certain conditions. Finally, we get lower bounds and upper bounds for quenching time.
Açıklama
Anahtar Kelimeler
Reaction-diffusion system, singular boundary condition, quenching, maximum principles, monotone iterations
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
40
Sayı
1
