Shock structure in viscoelasticity of relaxation type

DOI10.1016/J.NA.2005.10.001zbMath1098.35109OpenAlexW2108999635MaRDI QIDQ2496796

Yanyan Li

Publication date: 20 July 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.10.001

zbMATH Keywords

shock structurerelaxation limitstress-strain lawrate type viscoelasticity

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Nonlinear constitutive equations for materials with memory (74D10) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

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• Hyperbolic conservation laws with relaxation
• On rate-type constitutive equations and the energy of viscoelastic and viscoplastic materials
• Hyperbolic system for viscous fluids and simulation of shock tube flows
• Progressive Waves in Materials Exhibiting Long Range Memory
• Navier-stokes and boltzmann shock profiles for a model of gas dynamics
• Zero relaxation and dissipation limits for hyperbolic conservation laws
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• Oscillation waves in Riemann problems for phase transitions
• Vanishing Relaxation Limit of Viscoelasticity

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