THE QUENCHING BEHAVIOR OF A SEMILINEAR HEAT EQUATION WITH A SINGULAR BOUNDARY OUTFLUX
QUARTERLY OF APPLIED MATHEMATICS, cilt.72, sa.4, ss.747-752, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 72 Sayı: 4
- Basım Tarihi: 2014
- Doi Numarası: 10.1090/s0033-569x-2014-01367-9
- Dergi Adı: QUARTERLY OF APPLIED MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.747-752
- Anahtar Kelimeler: Semilinear heat equation, singular boundary outflux, quenching, quenching point, quenching time, maximum principles, PARABOLIC PROBLEMS
- Ankara Üniversitesi Adresli: Evet
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.