Nonexistence of global solutions in nonlinear Cauchy elastodynamics

DOI10.1007/BF00250349zbMath0424.73019MaRDI QIDQ1135127

Lawrence E. Payne, Robin J. Knops

Publication date: 1979

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

nonexistence of global solutionsnonlinear Cauchy elastodynamics

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Estimates of eigenvalues in context of PDEs (35P15)

Related Items (1)

On the role of the strong ellipticity condition in nonlinear elasticity

Cites Work

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• Non-existence, instability, and growth theorems for solutions of a class of abstract nonlinear equations with applications to nonlinear elasto- dynamics
• Growth estimates and lower bounds for solutions in nonlinear elastodynamics with indefinite strain energy
• Some stability results in the linear theory of anisotropic elastodynamics
• A perturbation approach to the stability of undamped linear elastic systems subjected to follower forces
• Uniqueness and continuous dependence for the equations of elastodynamics without strain energy function
• Energy-like Liapunov functionals for linear elastic systems on a Hilbert space

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