Skip to main content
SpringerLink
Log in

On the Cauchy problem for the full von Kármán system

  • Published:
Nonlinear Differential Equations and Applications NoDEA Aims and scope Submit manuscript

Abstract.

We consider here the Cauchy problem for the full system of dynamic Von Kármán equations, which is a model for the vibrations of a nonlinear elastic plate. We prove global existence and uniqueness of finite energy solutions in the case of an infinite plate. We show then that our methods and results still hold for a rectangular plate which is simply supported or clamped at the boundary. Moreover we obtain continuous dependence on the initial data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. School of Mathematics, Institute for Advanced Study, Princeton, NJ 08450, U.S.A., and Northwestern University, , , , , , US

    Daniel Tataru

  2. Ecole Polytechnique, Centre de Mathématiques Appliquées, F-91128 Palaiseau Cedex, France, and Universitè de Versailles , , , , , , FR

    Marius Tucsnak

Authors
  1. Daniel Tataru
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Marius Tucsnak
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received December 25, 1995

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tataru, D., Tucsnak, M. On the Cauchy problem for the full von Kármán system. NoDEA, Nonlinear differ.equ.appl. 4, 325–340 (1997). https://doi.org/10.1007/s000300050018

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s000300050018

Search

Navigation