Long-time existence of classical solutions to a one-dimensional swelling gel

M. Carme Calderer; Robin Ming Chen

doi:10.1142/S0218202515500062

Long-time existence of classical solutions to a one-dimensional swelling gel

M. Carme Calderer, Robin Ming Chen

Mathematics

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2 Scopus citations

Abstract

In this paper, we derived a model which describes the swelling dynamics of a gel and study the system in one-dimensional geometry with a free boundary. The governing equations are hyperbolic with a weakly dissipative source. Using a mass-Lagrangian formulation, the free boundary is transformed into a fixed boundary. We prove the existence of long-time C1-solutions to the transformed fixed boundary problem.

Original language	English (US)
Pages (from-to)	165-194
Number of pages	30
Journal	Mathematical Models and Methods in Applied Sciences
Volume	25
Issue number	1
DOIs	https://doi.org/10.1142/S0218202515500062
State	Published - 2015

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Publisher Copyright:
© World Scientific Publishing Company.

Keywords

Flory-Huggins mixing energy
Gel-swelling
continuum model
dissipative mechanisms
hyperbolic free boundary problem

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KW - dissipative mechanisms

KW - hyperbolic free boundary problem

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Long-time existence of classical solutions to a one-dimensional swelling gel

Abstract

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