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
Hacettepe Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we study the quenching behavior of solution of a nonlinear parabolic equation with a singular boundary condition. We prove finite-time quenching for the solution. Further, we show that quenching 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
Nonlinear parabolic equation, singular boundary condition, quenching, quenching point, quenching time, maximum principles
Kaynak
Hacettepe Journal of Mathematics and Statistics
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
44
Sayı
3
