Quenching for a nonlinear diffusion equation with singular boundary outfluxes
Küçük Resim Yok
Tarih
2018
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Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we study a nonlinear diffusion equation (?(u))t = uxx, 0 < x < a, t > 0 with singularboundary outfluxes ux(0, t) = u?p(0, t), ux(a, t) = ?u?q(a, t). Firstly, we get the quenching occurs in a finite time atthe boundary x = a under certain conditions. Finally, we show the time derivative blows up at the quenching timeand we also establish results on quenching time and rate for certain nonlinearities.
Açıklama
Anahtar Kelimeler
Kaynak
Turkish Journal of Mathematics and Computer Science
WoS Q Değeri
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Cilt
8
Sayı
8
