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

SELÇUK B.

Turkish Journal of Mathematics, cilt.40, sa.1, ss.166-180, 2016 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3906/mat-1502-20
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.166-180
  • Anahtar Kelimeler: Maximum principles, Monotone iterations, Quenching, Reaction-diffusion system, Singular boundary condition
  • Ankara Üniversitesi Adresli: Hayır

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 infinite 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.