QUENCHING FOR A REACTION-DIFFUSION EQUATION WITH WEAK SINGULARITIES
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Turkic World Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper studies the following reaction-diffusion equation with a weak singular boundary condition. The primary objective for this problem is to analyze the quenching properties. It is obtained that finite time quenching occurs on the left bound-ary, the time derivative of the solution blows up at the same time and also quench-ing rate estimates of the solution of the eqaution kt(x, t) = kxx(x, t) + ln alpha k(x, t), (x, t) is an element of (0, 1) x (0, T) with kx (0, t) = - ln beta k(0, t), kx (1, t) = 0, t is an element of (0, T) and ini-tial function k (x, 0) = k0 (x) with [0, 1] -> (0, 1) where 0 < alpha, beta < 1 and T is a finite time.
Açıklama
Anahtar Kelimeler
Reaction-diffusion equation, Singular boundary condition, Quenching, Max-imum principles
Kaynak
Twms Journal of Applied and Engineering Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
12
Sayı
4
