Nagdhi's Shell Model: Existence, Uniqueness and Continuous Dependence on the Midsurface

In this work, we present a new formulation for Nagdhi's model for shells with little regularity. This formulation allows for existence and uniqueness for general shells with discontinuous curvatures. We show that it coincides with the classical formulation when both are valid. We furthermore establish the continuous dependence of the solution to Nagdhi's problem on the midsurface.