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
American Mathematical Society
Erişim Hakkı
info:eu-repo/semantics/openAccess
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. © 2014 Brown University.
Açıklama
Anahtar Kelimeler
Maximum principles, Quenching, Quenching point, Quenching time, Semilinear heat equation, Singular boundary outflux
Kaynak
Quarterly of Applied Mathematics
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
72
Sayı
4
