Global existence for the full von Kármán system
type: Item
instance of: scholarly article
title: Global existence for the full von Kármán system
zbMATH Open document ID: 0861.35121
DOI: 10.1007/BF01182621
published in: Applied Mathematics and Optimization
publication date: 1996-08-27T00:00:00Z
review text: A global existence result for the full system of dynamic von Kármán equations with nonlinear boundary conditions are considered. It is suggested that a part of the boundary of the thin elastic plate is fixed and on the other part of the boundary an appropriate feedback law for the bending moment, twisting moment and the transverse shear force is given. The obtained result includes the homogeneous Dirichlet-Neumann boundary conditions. The presented method is based on application of some fixed-point methods in conjunction with a priori bounds for the von Kármán equation. The proof of existence of finite energy solution and uniqueness of the strong solution are given with various boundary conditions.
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 920735
zbMATH Keywords: nonlinear plate vibration
zbMATH Keywords: global existence
zbMATH Keywords: uniqueness
zbMATH Keywords: von Kármán equations
zbMATH Keywords: nonlinear boundary conditions
author: Jean-Pierre Puel
author: Marius Tucsnak
reviewed by: István Ecsedi
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 920735