Blow up analysis for a porous media equation with nonlinear sink and nonlinear boundary condition

• DOI: 10.14232/ejqtde.2021.1.8
• Publication Date: 2021-03-22T17:26:45Z
• Authors: Ya Tian; Ran Xu; Yao Qin
• Keywords: Sink (geography)

In this paper, we study porous media equation u t = ∆u mu p with nonlinear boundary condition ∂u ∂ν ku q .We determine some sufficient conditions for the occurrence of finite time blow-up or global existence.Moreover, lower and upper bounds are also derived by using various inequality techniques.