Global non-small data existence of spherically symmetric solutions to nonlinear viscoelasticity in a ball

DOI10.4171/ZAA/1441zbMath1232.35090OpenAlexW1985565103MaRDI QIDQ647932

Wojciech M. Zajączkowski, Jerzy August Gawinecki

Publication date: 22 November 2011

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1441

zbMATH Keywords

Sobolev spaceinitial-boundary value problemnonlinear viscoelasticityenergy estimateglobal existence and uniquenessnon-small data

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Nonlinear constitutive equations for materials with memory (74D10) PDEs in connection with mechanics of deformable solids (35Q74) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (4)

On global existence of solutions of the Neumann problem for spherically symmetric nonlinear viscoelasticity in a ball ⋮ The solution to the Lamb-Danilovskaya problem and analysis of waves in a thermo-viscoelastic medium with memory ⋮ On regular solutions to two-dimensional thermoviscoelasticity ⋮ Global regular solutions to two-dimensional thermoviscoelasticity

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• Solvability of the heat equation in weighted Sobolev spaces
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