Journal of Mathematical Sciences: Advances and ApplicationsAuthor'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.
