On the failure of hyperbolicity in elasticity

DOI10.1007/BF00042217zbMath0487.73017MaRDI QIDQ1165615

Michail Zak

Publication date: 1982

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

failure of hyperbolicitycriteria for instability derived in terms of potential energy function of strain invariantsill-posedness of Cauchy problem

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Elastic materials (74B99)

Related Items (6)

Postinstability models in dynamics ⋮ Terminal model of Newtonian dynamics ⋮ Non-Lipschitzian dynamics for neural net modelling ⋮ Postinstability models in elasticity ⋮ Shape instability in thin viscous films and jets ⋮ Neural networks with creative dynamics

Cites Work

• Dynamics of film
• Surface phenomena in elasticity
• On the ellipticity of the equations of nonlinear elastostatics for a special material
• Uniqueness and stability of the solution of the small perturbation problem of a flexible filament with a free end
• On the loss of stability of the shape of an ideally flexible string

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