DMCA
INCIPIENT DYNAMICS OF SWELLING OF GELS By (2008)
| Citations: | 7 - 4 self |
BibTeX
@MISC{Zhang08incipientdynamics,
author = {Hang Zhang and M. Carme Calderer and Hang Zhang and M. Carme Calderer},
title = {INCIPIENT DYNAMICS OF SWELLING OF GELS By},
year = {2008}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
Abstract. In this article, we analyze a model of the incipient dynamics of gel swelling, and perform numerical simulations. The governing system consists of balance laws for a mixture of nonlinear elastic solid and solvent yielding effective equations for the gel. We discuss the multiscale nature of the problem and identify physically realistic regimes. The mixing mechanism is based on the Flory-Huggins energy. We consider the case that the dissipation mechanism is the solid-solvent friction force. This leads to a system of weakly dissipative nonlinear hyperbolic equations. After addressing the Cauchy problem, we propose physically realistic boundary conditions describing the motion of the swelling boundary. We study the linearized version of the free boundary problem. Numerical simulations of solutions are presented too. Key words. Gel swelling, two-component mixture, polymer-solvent friction, type II diffusion, hyperbolic free boundary problem. 1. Introduction. We
Keyphrases
incipient dynamic swelling gel numerical simulation weakly dissipative nonlinear hyperbolic equation linearized version gel swelling multiscale nature free boundary problem solid-solvent friction force two-component mixture type ii diffusion mixing mechanism dissipation mechanism effective equation realistic regime flory-huggins energy balance law nonlinear elastic solid cauchy problem realistic boundary condition key word polymer-solvent friction hyperbolic free boundary problem
