WIAS Preprint No. 643, (2001)

An analytic approach to a generalized Naghdi shell model


Authors

  • Sprekels, Jürgen
    ORCID: 0009-0000-0618-8604
  • Tiba, Dan

2010 Mathematics Subject Classification

  • 74K25 35Q72

Keywords

  • Shells with little regularity, simplified approach

DOI

10.20347/WIAS.PREPRINT.643

Abstract

In this paper a shell model of generalized Naghdi type is studied which requires only low regularity conditions. It is shown that the corresponding system of linear variational equations (representing a boundary value problem for a linear system of six partial differential equations on the shell) admits a unique solution. The main step in the proof is to show the coercivity of the corresponding bilinear form which is equivalent to a Korn inequality in curvilinear coordinates. In this paper, a direct approximation argument is used for the proof of coercivity.

Appeared in

  • Adv. Math. Sci. Appl., 12/1 (2002), 175--190

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