Yazar "Özalp, Nuri" seçeneğine göre listele

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    The quenching behavior of a nonlinear parabolic equation with a singular boundary condition
    (2015) Özalp, Nuri; Selçuk, Burhan
    In this paper, we study the quenching behavior of solution of a nonlin- ear parabolic equation with a singular boundary condition. We prove finite-time quenching for the solution. Further, we show that quench- ing occurs on the boundary under certain conditions. Furthermore, we show that the time derivative blows up at quenching point. Also, we get a lower solution and an upper bound for quenching time. Finally, we get a quenching rate and lower bounds for quenching time.
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    Quenching for a nonlinear diffusion equation with singular boundary outfluxes
    (2018) Selçuk, Burhan; Özalp, Nuri
    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.