Deformations of incompressible bodies with free boundaries

DOI10.1007/BF00381278zbMath0777.73007OpenAlexW2008745778MaRDI QIDQ1196248

David G. Ebin, Santiago R. Simanca

Publication date: 14 December 1992

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

Full work available at URL: https://doi.org/10.1007/bf00381278

zbMATH Keywords

initial-boundary value problemelastodynamicsunique classical solution

Mathematics Subject Classification ID

Related Items (6)

The interaction between quasilinear elastodynamics and the Navier-Stokes equations ⋮ The (small) vibrations of thin plates ⋮ On the motion of a compact elastic body ⋮ The existence of solution to the finite elastodynamics with mixed boundary conditions ⋮ Unnamed Item ⋮ Exact energy and momentum conserving algorithms for general models in nonlinear elasticity

Cites Work

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• The initial-value problem for elastodynamics of incompressible bodies
• The incompressible limit in nonlinear elasticity
• Existence pour un problème de l'élastodynamique Neumann non linéaire en dimension 2. (Existence for an elasto-dynamic nonlinear Neumann problem in two dimensions)
• An existence theorem for the Dirichlet problem in the elastodynamics of incompressible materials
• Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
• Small defromations of incompressible bodies with free boundary
• The equations of motion of a perfect fluid with free boundary are not well posed.
• Formation of singularities for wave equations including the nonlinear vibrating string

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