L2estimates for the perturbed phase transitions in unbounded one-dimensional nonlinear viscoelasticity

DOI10.1080/00036819008839947zbMath0674.73037OpenAlexW1983904766WikidataQ58251240 ScholiaQ58251240MaRDI QIDQ3829152

M. Affouf

Publication date: 1990

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819008839947

zbMATH Keywords

dynamic phase transitionsunbounded regionEnergy estimatescubic stress-strain relationperturbed travelling wave solutions

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Viscoelastic fluids (76A10) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Cites Work

• Unnamed Item
• Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
• The viscosity-capillarity criterion for shocks and phase transitions
• Nonlinear asymptotic stability of viscous shock profiles for conservation laws
• Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability
• Nonlinear waves for viscoelasticity with fading memory
• Dynamic phase transitions in a van der Waals fluid
• Numerical study of a singular system of conservation laws arising in enhanced oil reservoirs
• Admissibility criteria for propagating phase boundaries in a van der Waals fluid

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