Author's: HALIMA NACHID
Pages: [81] - [105]
Received Date: April 27, 2012
Submitted by:
In this paper, we consider the following initial-boundary value
problem:
where is a
convex, nonincreasing function,
is the Laplacian,
is a bounded domain in
with smooth boundary
Under some assumptions, we show that the
solution of the above problem quenches in a finite time and estimate
its quenching time. We also prove the continuity of the quenching time
as a function of
and b. Finally, we give some
numerical results to illustrate our analysis.
quenching, parabolic equation, nonlinear boundary condition, numerical quenching time.