Quenching behavior of a semilinear reaction-diffusion system with singularboundary condition

Küçük Resim Yok

Tarih

2016

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Erişim Hakkı

info:eu-repo/semantics/openAccess

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.

Açıklama

Anahtar Kelimeler

Matematik

Kaynak

Turkish Journal of Mathematics

WoS Q Değeri

Scopus Q Değeri

Cilt

40

Sayı

1

Künye