A PRIORIBOUNDS ON SPATIAL MOTIONS OF INCOMPRESSIBLE NONLINEARLY ELASTIC RODS

DOI10.1142/S0219891606000872zbMath1096.35025OpenAlexW2020350816MaRDI QIDQ5483494

Stuart S. Antman

Publication date: 14 August 2006

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891606000872

zbMATH Keywords

a priori boundsquasilinear hyperbolic equationsspatial motion of incompressible nonlinearly rods

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) First-order nonlinear hyperbolic equations (35L60) A priori estimates in context of PDEs (35B45)

Cites Work

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• Convergence properties of hierarchies of dynamical theories of rods and shells
• Asymptotic analysis of the eversion of nonlinearly elastic shells. II: Incompressible shells
• The parabolic-hyperbolic system governing the spatial motion of nonlinearly viscoelastic rods
• Travelling waves in hyperelastic rods
• Incompressibility in Rod and Shell Theories
• Nonlinear problems of elasticity

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