Document Type
Article
Publication Date
7-8-2019
Abstract
In this paper, the quenching behavior of the non-Newtonian filtration equation (φ(u))t = (|ux| r−2 ux)x with singular boundary conditions, ux (0, t) = u −p (0, t), ux (a, t) = (1 − u(a, t))−q is investigated. 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 when φ(u) = u and r = 2. Numerical experiments are provided to illustrate and provide additional validation of the theoretical estimates to the quenching rates and times.
Repository Citation
Beauregard, Matthew and Selcuk, Burhan, "Quenching estimates for a non-Newtonian filtration equation with singular boundary conditions" (2019). Faculty Publications. 8.
https://scholarworks.sfasu.edu/mathandstats_facultypubs/8
Comments
arXiv:1907.03796v1 [math.AP] 8 Jul 2019