Blow-Up Phenomena for a Non-Newton Filtration Equation with Local Linear Boundary Dissipation

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.

Keywords

• blow-up
• non-Newton filtration equation
• local linear boundary dissipation