Quenching behavior of a semilinear reaction-diffusion system with singular boundary condition


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SELÇUK B.

TURKISH JOURNAL OF MATHEMATICS, cilt.40, ss.166-180, 2016 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 40 Konu: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3906/mat-1502-20
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayısı: ss.166-180

Özet

In this paper, we study the quenching behavior of the solution of a semilinear reaction-diffusion system with singular boundary condition. We first get a local exisence result. Then we prove that the solution quenches only on the right boundary in finite time and the time derivative blows up at the quenching time under certain conditions. Finally, we get lower bounds and upper bounds for quenching time.