scholarly journals Fast rate of dead core for fast diffusion equation with strong absorption

2010 ◽  
Vol 9 (2) ◽  
pp. 397-411
Author(s):  
Chunlai Mu ◽  
◽  
Jun Zhou ◽  
Yuhuan Li ◽  
◽  
...  
Keyword(s):  
Diffusion Equation ◽  
Fast Rate ◽  
Strong Absorption ◽  
Fast Diffusion ◽  
Fast Diffusion Equation ◽  
Dead Core

Non-self-similar dead-core rate for the fast diffusion equation with strong absorption

Nonlinearity ◽  
2010 ◽  
Vol 23 (3) ◽  
pp. 657-673 ◽  
Author(s):  
Jong-Shenq Guo ◽  
Chia-Tung Ling ◽  
Philippe Souplet
Keyword(s):  
Diffusion Equation ◽  
Strong Absorption ◽  
Fast Diffusion ◽  
Fast Diffusion Equation ◽  
Dead Core ◽  
Self Similar

scholarly journals Spatial Profile of the Dead Core for the Fast Diffusion Equation with Dependent Coefficient

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Zhengce Zhang ◽  
Biao Wang
Keyword(s):  
Maximum Principle ◽  
Diffusion Equation ◽  
Single Point ◽  
Fast Diffusion ◽  
Spatial Profile ◽  
Fast Diffusion Equation ◽  
Dead Core ◽  
Core Profile ◽  
The Dead ◽  
Core Problem

We consider the dead-core problem for the fast diffusion equation with spatially dependent coefficient and obtain precise estimates on the single-point final dead-core profile. The proofs rely on maximum principle and require much delicate computation.

scholarly journals Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Liping Zhu ◽  
Zhengce Zhang
Keyword(s):  
Diffusion Equation ◽  
Single Point ◽  
Fast Diffusion ◽  
Fast Diffusion Equation ◽  
Dead Core ◽  
Core Profile ◽  
Self Similar ◽  
Similar Solutions ◽  
Compactness Arguments ◽  
Core Problem

We consider the dead-core problem for the fast diffusion equation with spatially dependent coefficient and show that the temporal dead-core rate is non-self-similar. The proof is based on the standard compactness arguments with the uniqueness of the self-similar solutions and the precise estimates on the single-point final dead-core profile.

scholarly journals A continuum of extinction rates for the fast diffusion equation

2011 ◽  
Vol 10 (4) ◽  
pp. 1129-1147 ◽  
Author(s):  
Michael Winkler ◽  
Juan-Luis Vázquez ◽  
Marek Fila
Keyword(s):  
Diffusion Equation ◽  
Fast Diffusion ◽  
Fast Diffusion Equation ◽  
Extinction Rates
Sign in / Sign up

Export Citation Format

Share Document