The quenching of solutions to time-space fractional Kawarada problems
Analysis of PDEs
2019-01-23 v1
Abstract
Quenching solutions to a Kawarada problem with a Caputo time-fractional derivative and a fractional Laplacian are considered. The solutions to such problems may only exist locally in time when quenching occurs. Quenching and non-quenching solutions are shown to remain positive and be monotonically increasing in time under minor restrictions. Conditions for quenching to occur are demonstrated and shown to depend on the domain size.
Keywords
Cite
@article{arxiv.1901.06605,
title = {The quenching of solutions to time-space fractional Kawarada problems},
author = {Joshua L Padgett},
journal= {arXiv preprint arXiv:1901.06605},
year = {2019}
}
Comments
21 pages, article has already been accepted (uploading to complete arXiv profile)