WIAS Preprint No. 643, (2001)

# An analytic approach to a generalized Naghdi shell model

Authors

• Sprekels, Jürgen
• 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