Abstract
This article investigates the blow-up behaviors for a porous medium equation with a superlinear source and local linear bound-ary dissipation.Making use of the concavity method,we establish sufficient conditions to guarantee the occurrence of the finite time blow-up phenomenon.Meanwhile,we show the existence of the finite time blow-up solutions for arbitrarily high initial energy.Finally,we de-rive the life span bounds(i.e.,the lower and upper bounds of the blow-up time).
基金项目
Scientific Research Fund of Hunan Provincial Education Department(23A0361)
NETL
NSTL
万方数据