[PDF][PDF] The quenching behavior of a nonlinear parabolic equation with a singular boundary condition
D Răducanu - Hacettepe Journal of Mathematics and Statistics, 2015 - dergipark.org.tr
D Răducanu
Hacettepe Journal of Mathematics and Statistics, 2015•dergipark.org.trIn this paper, we study the quenching behavior of solution of a nonlinear parabolic equation
with a singular boundary condition. We prove finite-time quenching for the solution. Further,
we show that quenching 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.
with a singular boundary condition. We prove finite-time quenching for the solution. Further,
we show that quenching 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.
In this paper, we study the quenching behavior of solution of a nonlinear parabolic equation with a singular boundary condition. We prove finite-time quenching for the solution. Further, we show that quenching 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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