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math.AP2009
The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity
Helmut Abels, Maria Giovanna Mora, Stefan Müller
The asymptotic behaviour of the solutions of three-dimensional nonlinear elastodynamics in a thin plate is studied, as the thickness of the plate tends to zero. Under appropria…
math.AP2009★ 2 cited
Large Time Existence for Thin Vibrating Plates
H. Abels, M. G. Mora, S. Müller
We construct strong solutions for a nonlinear wave equation for a thin vibrating plate described by nonlinear elastodynamics. For sufficiently small thickness we obtain existence o…