%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