In this paper, we introduce a mathematical model given by\begin {equation}{}^ c\mathfrak
{D} _t^\alpha u=\nabla\cdot\mathrm {D}\nabla u+\rho f (u)\quad\text {in}\Omega,\end …

Quenching phenomena play important roles in both steady and unsteady combustion
processes. This article studies a compound finite difference method for solving a nonlinear …

We are interested in the local behavior, near a quenching point, of a solution of a semilinear
heat equation with singular powerlike absorption. Using the method of Herrero and …

On quenching of solutions for some semilinear parabolic equations of second order Page 1
On quenching of solutions for some semilinear parabolic equations of second order Théodore …

We prove global existence of nonnegative solutions to the singular parabolic equation $ u_t-
\Delta u+\chi _ {\{u> 0\}}(-u^{-\beta}+\lambda f (u))= 0$ in a smooth bounded domain …

Advances in Quenching Page 1 Advances in Quenching HOWARD A. LEVINE Introduction
In this paper we shall survey the literature on the so called quenching problem since 1985 …

Parabolic Ouenching for Nonsmooth Convex Domains Page 1 oURNAL OF MATHEMATICAL
ANALYsıs AND APPLICATIONS 186, 52–65 (1994) Parabolic Ouenching for Nonsmooth …

In this paper we study the quenching problem for the reaction diffusion equation ut− uxx= f
(u) with Cauchy–Dirichlet data, in the case where we have only a logarithmic singularity, ie, f …

In this paper, we study the quenching behavior of a nonlinear diffusion equation with
singular absorption and singular boundary flux. Under certain conditions on the initial data …

In this paper, we introduce a new adaptive method for computing the numerical solutions of
a class of quenching parabolic equations which exhibit a solution with one singularity. Our …