EN
The quenching behavior of a nonlinear parabolic equation with a singular boundary condition
Abstract
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.
Keywords
References
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
June 1, 2015
Submission Date
March 9, 2012
Acceptance Date
-
Published in Issue
Year 2015 Volume: 44 Number: 3
APA
Ozalp, N., & Selçuk, B. (2015). The quenching behavior of a nonlinear parabolic equation with a singular boundary condition. Hacettepe Journal of Mathematics and Statistics, 44(3), 615-621. https://doi.org/10.15672/HJMS.2015449429
AMA
1.Ozalp N, Selçuk B. The quenching behavior of a nonlinear parabolic equation with a singular boundary condition. Hacettepe Journal of Mathematics and Statistics. 2015;44(3):615-621. doi:10.15672/HJMS.2015449429
Chicago
Ozalp, Nuri, and Burhan Selçuk. 2015. “The Quenching Behavior of a Nonlinear Parabolic Equation With a Singular Boundary Condition”. Hacettepe Journal of Mathematics and Statistics 44 (3): 615-21. https://doi.org/10.15672/HJMS.2015449429.
EndNote
Ozalp N, Selçuk B (June 1, 2015) The quenching behavior of a nonlinear parabolic equation with a singular boundary condition. Hacettepe Journal of Mathematics and Statistics 44 3 615–621.
IEEE
[1]N. Ozalp and B. Selçuk, “The quenching behavior of a nonlinear parabolic equation with a singular boundary condition”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 3, pp. 615–621, June 2015, doi: 10.15672/HJMS.2015449429.
ISNAD
Ozalp, Nuri - Selçuk, Burhan. “The Quenching Behavior of a Nonlinear Parabolic Equation With a Singular Boundary Condition”. Hacettepe Journal of Mathematics and Statistics 44/3 (June 1, 2015): 615-621. https://doi.org/10.15672/HJMS.2015449429.
JAMA
1.Ozalp N, Selçuk B. The quenching behavior of a nonlinear parabolic equation with a singular boundary condition. Hacettepe Journal of Mathematics and Statistics. 2015;44:615–621.
MLA
Ozalp, Nuri, and Burhan Selçuk. “The Quenching Behavior of a Nonlinear Parabolic Equation With a Singular Boundary Condition”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 3, June 2015, pp. 615-21, doi:10.15672/HJMS.2015449429.
Vancouver
1.Nuri Ozalp, Burhan Selçuk. The quenching behavior of a nonlinear parabolic equation with a singular boundary condition. Hacettepe Journal of Mathematics and Statistics. 2015 Jun. 1;44(3):615-21. doi:10.15672/HJMS.2015449429