%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
%0 Report
%D 2007
%T Time-dependent systems of generalized Young measures
%A Gianni Dal Maso
%A Antonio DeSimone
%A Maria Giovanna Mora
%A Massimiliano Morini
%X In this paper some new tools for the study of evolution problems in the framework of Young measures are introduced. A suitable notion of time-dependent system of generalized Young measures is defined, which allows to extend the classical notions of total variation and absolute continuity with respect to time, as well as the notion of time derivative. The main results are a Helly type theorem for sequences of systems of generalized Young measures and a theorem about the existence of the time derivative for systems with bounded variation with respect to time.
%B Netw. Heterog. Media 2 (2007) 1-36
%G en_US
%U http://hdl.handle.net/1963/1795
%1 2749
%2 Mathematics
%3 Functional Analysis and Applications
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2006-04-04T13:16:42Z\\nNo. of bitstreams: 1\\n98M-2005.pdf: 339547 bytes, checksum: 695874ce74733dc0020a7e357f04cb1b (MD5)