The quenching behavior of a nonlinear parabolic equation with a singular boundary condition


Creative Commons License

ÖZALP N., SELÇUK B.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.44, ss.615-621, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 44 Konu: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.15672/hjms.2015449429
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.615-621

Özet

In this paper, we study the quenching behavior of solution of a nonlinear parabolic equation with a singular boundary condition. We prove finite-time quenching for the solution. Further, we show that quenching occurs on the boundary under certain conditions. Furthermore, we show that the time derivative blows up at quenching point. Also, we get a lower solution and an upper bound for quenching time. Finally, we get a quenching rate and lower bounds for quenching time.