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

DOI10.1142/S0218202515500062zbMath1323.35217arXiv1303.6548OpenAlexW2004929715MaRDI QIDQ5176152

Robin Ming Chen, M. Carme Calderer

Publication date: 2 March 2015

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.6548

zbMATH Keywords

continuum modelhyperbolic free boundary problemdissipative mechanismsgel swellingFlory-Huggins mixing energy

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) First-order nonlinear hyperbolic equations (35L60) Mixture effects in solid mechanics (74F20) Initial-boundary value problems for first-order hyperbolic systems (35L50) Free boundary problems for PDEs (35R35) Classical solutions to PDEs (35A09)

Related Items (2)

Global weak solvability, continuous dependence on data, and large time growth of swelling moving interfaces ⋮ Drug Diffusion in a Swollen Polymer

Cites Work

• Incipient Dynamics of Swelling of Gels
• A Dynamic Model of Polyelectrolyte Gels
• HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH WEAK DISSIPATION
• On hydrodynamics of viscoelastic fluids
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Long-time existence of classical solutions to a one-dimensional swelling gel