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

Selcuk B., ÖZALP N.

QUARTERLY OF APPLIED MATHEMATICS, cilt.72, sa.4, ss.747-752, 2014 (SCI-Expanded) identifier identifier

  • 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.