首页|Blow-up for a Porous Medium Equation with Local Linear Boundary Dissipation
Blow-up for a Porous Medium Equation with Local Linear Boundary Dissipation
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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).
porous medium equationblow-up behaviorlife span bounds
YANG Jichen、LIU Dengming
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School of Mathematics and Computational Science,Hunan University of Science and Technology,Xiangtan 411201,Hunan,China
Scientific Research Fund of Hunan Provincial Education Department
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