Affiliation:
1. School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, China
Abstract
In this article, we consider the finite time blow-up phenomenon for a class of non-Newton filtration equations with local linear boundary dissipation. Using a modified concavity method, the sufficient condition for the finite time blow-up is given. Furthermore, we obtain the result of the blow-up solution with arbitrary high initial energy. Meanwhile, the upper and lower estimates of the blow-up time are discussed.
Funder
Scientific Research Fund of Hunan Provincial Education Department