THE QUENCHING BEHAVIOR OF A SEMILINEAR HEAT EQUATION WITH A SINGULAR BOUNDARY OUTFLUX
Küçük Resim Yok
Tarih
2014
Yazarlar
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