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SIAMAM
2011
7 years 10 months ago
Kinetics of Swelling Gels
We develop a general theory of the swelling kinetics of polymer gels, with the view that a polymer gel is a two-phase fluid. The model we propose is a free boundary problem and ca...
James P. Keener, Sarthok Sircar, Aaron L. Fogelson
SIAMAM
2000
119views more  SIAMAM 2000»
8 years 7 months ago
The "Linear" Limit of Thin Film Flows as an Obstacle-Type Free Boundary Problem
We study the limit as n 0 of the nonnegative, self-similar source-type solutions of the thin film equation ut + (unuxxx)x = 0. We obtain a unique limiting function u, which is a s...
Fernando Quirós, Francisco Bernis, Josephus...
AMC
2005
86views more  AMC 2005»
8 years 7 months ago
A numerical analysis of a model of growth tumor
In this paper we study a free boundary problem modeling the growth of tumors. The model uses the conventional ideas of nutrient diffusion and consumption by the cells. We consider...
Andrés Barrea, Cristina Turner
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