Quenching estimates for a non-Newtonian filtration equation with singular boundary conditions

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Published: Feb 1, 2024
DOI: https://doi.org/10.5556/j.tkjm.55.2024.5009
Keywords:
non-Newtonian filtration equation singular boundary condition quenching finite differences

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Matthew A. Beauregard
Stephen F. Austin State University Office: 936-468-2508
Burhan Selcuk
Department of Computer EngineeringKarabuk UniversityKarabuk / TURKEY
https://orcid.org/0000-0002-5141-5148

Abstract

This study concerns with the quenching features of solutions of the non-Newtonian filtration equation. Various conditions on the initial condition are shown to guarantee quenching at either the left or right boundary. Theoretical quenching rates and lower bounds to the quenching time are determined are certain cases. Numerical experiments are provided to illustrate and provide additional validation of the theoretical predictions to the quenching rates and times.

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How to Cite
Beauregard, M. A., & Selcuk, B. (2024). Quenching estimates for a non-Newtonian filtration equation with singular boundary conditions. Tamkang Journal of Mathematics, 55(1), 1–14. https://doi.org/10.5556/j.tkjm.55.2024.5009
Issue
Vol. 55 No. 1 (2024)
Section
Papers
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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Author Biographies

Matthew A. Beauregard, Stephen F. Austin State University Office: 936-468-2508

Matthew Beauregard. Professor of Mathematics & Statistics; Interim Chair of Physics, Engineering & Astronomy; Interim Chair of Computer Science.  

Burhan Selcuk, Department of Computer EngineeringKarabuk UniversityKarabuk / TURKEY

Assist. Prof. Dr. / Computer Engineering Department

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