THE QUENCHING BEHAVIOR OF A SEMILINEAR HEAT EQUATION WITH A SINGULAR BOUNDARY OUTFLUX

Küçük Resim Yok

Tarih

2014

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Brown Univ

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, we study the quenching behavior of the solution of a semilinear heat equation with a singular boundary outflux. We prove a finite-time quenching for the solution. Further, we show that quenching occurs on the boundary under certain conditions and we show that the time derivative blows up at a quenching point. Finally, we get a quenching rate and a lower bound for the quenching time.

Açıklama

Anahtar Kelimeler

Semilinear heat equation, singular boundary outflux, quenching, quenching point, quenching time, maximum principles

Kaynak

Quarterly of Applied Mathematics

WoS Q Değeri

Q3

Scopus Q Değeri

Cilt

72

Sayı

4

Künye