Existence of large-data global weak solutions to a model of a strain-limiting viscoelastic body

DOI10.3934/cpaa.2021053zbMath1472.35092arXiv2011.07490OpenAlexW3139052549MaRDI QIDQ2032129

Yasemin Şengül, Miroslav Bulíček, Endre Süli, Victoria Patel

Publication date: 16 June 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.07490

zbMATH Keywords

regularityweak solutionglobal existencenonlinear viscoelasticityevolutionary problemstrain-limiting theory

Mathematics Subject Classification ID

Nonlinear constitutive equations for materials with memory (74D10) Weak solutions to PDEs (35D30) Existence of solutions of dynamical problems in solid mechanics (74H20) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items

Existence and Uniqueness of Global Weak Solutions to Strain-Limiting Viscoelasticity with Dirichlet Boundary Data ⋮ Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks ⋮ On an elastic strain-limiting special Cosserat rod model ⋮ A generalization of the Kelvin–Voigt model with pressure‐dependent moduli in which both stress and strain appear linearly ⋮ Well-posedness of the governing equations for a quasi-linear viscoelastic model with pressure-dependent moduli in which both stress and strain appear linearly ⋮ Global existence of solutions for the one-dimensional response of viscoelastic solids within the context of strain-limiting theory

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