scholarly journals Lie group action and stability analysis of stationary solutions for a free boundary problem modelling tumor growth

2009 ◽  
Vol 246 (5) ◽  
pp. 1845-1882 ◽  
Author(s):  
Shangbin Cui
Keyword(s):  
Stability Analysis ◽  
Free Boundary ◽  
Tumor Growth ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Group Action ◽  
Lie Group ◽  
Stationary Solutions ◽  
Lie Group Action ◽  
A Free Boundary Problem

scholarly journals Stability of Solutions to a Free Boundary Problem for Tumor Growth

2014 ◽  
Vol 2014 ◽  
pp. 1-4
Author(s):  
Shihe Xu
Keyword(s):  
Free Boundary ◽  
Tumor Growth ◽  
Asymptotic Behaviour ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Stationary Solutions ◽  
Steady Solution ◽  
Stability Of Solutions ◽  
Steady Solutions ◽  
A Free Boundary Problem

We study the asymptotic behaviour of quasi-stationary solutions of a free boundary problem which had been discussed by Bueno (2005). Using a simpler method we prove that the quasi-steady solutions of the problem converge uniformly to the unique nontrivial steady solution.

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