%0 Journal Article %J Calculus of Variations and Partial Differential Equations 41 (2011) 241-259 %D 2011 %T The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity %A Helmut Abels %A Maria Giovanna Mora %A Stefan Müller %X The asymptotic behaviour of the solutions of three-dimensional nonlinear elastodynamics in a thin plate is studied, as the thickness $h$ of the plate tends to zero. Under appropriate scalings of the applied force and of the initial values in terms of $h$, it is shown that three-dimensional solutions of the nonlinear elastodynamic equation converge to solutions of the time-dependent von K\\\\\\\'arm\\\\\\\'an plate equation. %B Calculus of Variations and Partial Differential Equations 41 (2011) 241-259 %I Springer %G en_US %U http://hdl.handle.net/1963/3835 %1 492 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2010-01-26T16:49:12Z\\r\\nNo. of bitstreams: 1\\r\\n0912.4135v1.pdf: 217528 bytes, checksum: 4ee557860670b3d876174b2e053958e4 (MD5) %R 10.1007/s00526-010-0360-0