Finite time vs. infinite time gradient blow-up in a degenerate diffusion equation

2008 ◽  
Vol 57 (5) ◽  
pp. 2321-2354 ◽  
Author(s):  
Christian Stinner ◽  
Michael Winkler
Keyword(s):  
Diffusion Equation ◽  
Finite Time ◽  
Blow Up ◽  
Degenerate Diffusion ◽  
Infinite Time ◽  
Degenerate Diffusion Equation

scholarly journals Existence and Asymptotic Behavior of Traveling Wave Fronts for a Time-Delayed Degenerate Diffusion Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-20
Author(s):  
Weifang Yan ◽  
Rui Liu
Keyword(s):  
Asymptotic Behavior ◽  
Time Delay ◽  
Diffusion Equation ◽  
Traveling Wave ◽  
Sufficient Conditions ◽  
Degenerate Diffusion ◽  
Wave Fronts ◽  
Traveling Wave Fronts ◽  
Necessary And Sufficient ◽  
Degenerate Diffusion Equation

This paper is concerned with traveling wave fronts for a degenerate diffusion equation with time delay. We first establish the necessary and sufficient conditions to the existence of monotone increasing and decreasing traveling wave fronts, respectively. Moreover, special attention is paid to the asymptotic behavior of traveling wave fronts connecting two uniform steady states. Some previous results are extended.

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