Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity

DOI10.3792/pjaa.87.99zbMath1228.35137OpenAlexW2073022046MaRDI QIDQ719920

Tohru Nakamura, Priyanjana M. N. Dharmawardane, Shuichi Kawashima

Publication date: 12 October 2011

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.87.99

zbMATH Keywords

global existencedecay estimate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear constitutive equations for materials with memory (74D10) Second-order quasilinear hyperbolic equations (35L72) Initial value problems for second-order hyperbolic systems (35L52)

Cites Work

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• Decay property of regularity-loss type for the Euler-Maxwell system
• Global solutions to quasi-linear hyperbolic systems of viscoelasticity
• Decay property for second order hyperbolic systems of viscoelastic materials
• Decay estimates for hyperbolic balance laws
• Global existence and exponential stability of small solutions to nonlinear viscoelasticity
• Decay Estimates of Solutions for Quasi-Linear Hyperbolic Systems of Viscoelasticity
• DECAY PROPERTY OF REGULARITY-LOSS TYPE AND NONLINEAR EFFECTS FOR DISSIPATIVE TIMOSHENKO SYSTEM

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