Large Time Existence for Thin Vibrating Plates
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Publication:3106555
DOI10.1080/03605302.2011.618209zbMath1247.74019arXiv0909.2796OpenAlexW1981014263MaRDI QIDQ3106555
Helmut Abels, Maria Giovanna Mora, Stefan Müller
Publication date: 28 December 2011
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.2796
Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity
- On the mixed problem for some quasilinear hyperbolic system with fully nonlinear boundary condition
- Fine level set structure of flat isometric immersions
- Weak-convergence methods for Hamiltonian multiscale problems
- Mixed problems for fully nonlinear hyperbolic equations
- Justification of the nonlinear Kirchhoff-Love theory of plates as the application of a new singular inverse method
- The limits of Hamiltonian structures in three-dimensional elasticity, shells, and rods
- A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
- Euler-lagrange equation and regularity for flat minimizers of the Willmore functional
- Global existence of classical solutions to the dynamical von Kármán equations
- Some Open Problems in Elasticity
- Das Rand-Anfangswertproblem für quasilineare Wellengleichungen in Sobolevräumen niedriger Ordnung.
- Uniform Stabilizability of a Full Von Karman System with Nonlinear Boundary Feedback
- Nonlinear problems of elasticity
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