The quenching behavior of a nonlinear parabolic equation with a singular boundary condition
Küçük Resim Yok
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we study the quenching behavior of solution of a nonlin- ear parabolic equation with a singular boundary condition. We prove finite-time quenching for the solution. Further, we show that quench- ing occurs on the boundary under certain conditions. Furthermore, we show that the time derivative blows up at quenching point. Also, we get a lower solution and an upper bound for quenching time. Finally, we get a quenching rate and lower bounds for quenching time.
Açıklama
Anahtar Kelimeler
Matematik, İstatistik ve Olasılık
Kaynak
Hacettepe Journal of Mathematics and Statistics
WoS Q Değeri
Scopus Q Değeri
Cilt
44
Sayı
3
