Resolvent estimates for viscoelastic systems of extended Maxwell type and their applications

DOI10.1137/23M1592456zbMATH Open1547.35125MaRDI QIDQ6598473

Gen Nakamura, Maarten V. De Hoop, Masato Kimura, C.-L. Lin

Publication date: 5 September 2024

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

anisotropyresolvent estimatesviscoelasticityparabolic-hyperbolic systemlimiting amplitude principle

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Linear constitutive equations for materials with memory (74D05) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

Cites Work

• Title not available (Why is that?)
• Semigroups of linear operators and applications to partial differential equations
• On the mathematical foundations of elastic stability theory. I
• The gradient flow structure of an extended Maxwell viscoelastic model and a structure-preserving finite element scheme
• Mixed problems for hyperbolic equations of second order
• An abstract Volterra equation with applications to linear viscoelasticity
• Approximate Steady State Models for Magnetic Resonance Elastography

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