TY - JOUR AU - Beauregard, Matthew A. AU - Selcuk, Burhan PY - 2024/02/01 Y2 - 2024/03/28 TI - Quenching estimates for a non-Newtonian filtration equation with singular boundary conditions JF - Tamkang Journal of Mathematics JA - Tamkang J. Math. VL - 55 IS - 1 SE - Papers DO - 10.5556/j.tkjm.55.2024.5009 UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/5009 SP - 1-14 AB - <p>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.</p> ER -