An analytic approach to a generalized Naghdi shell model
- Sprekels, Jürgen
- Tiba, Dan
2010 Mathematics Subject Classification
- 74K25 35Q72
- Shells with little regularity, simplified approach
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.
- Adv. Math. Sci. Appl., 12/1 (2002), 175--190