The quenching behavior of a nonlinear parabolic equation with a singular boundary condition

Küçük Resim Yok

Tarih

2015

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

Künye