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

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

Künye