Hamiltonian formulation of distributed-parameter systems with boundary energy flow
type: Item
instance of: scholarly article
title: Hamiltonian formulation of distributed-parameter systems with boundary energy flow
zbMATH Open document ID: 1012.70019
DOI: 10.1016/S0393-0440(01)00083-3
published in: Journal of Geometry and Physics
publication date: 2002-06-23T00:00:00Z
review text: The authors study distributed-parameter systems which incorporate energy flow through the boundary. The structure is represented as a boundary control of Hamiltonian systems, where the Hamiltonian is related to an infinite-dimensional Diract structure. The formulation is applied to Maxwell equations in a bounded domain, and to Euler equations for ideal fluid.
Mathematics Subject Classification ID: 70Q05
Mathematics Subject Classification ID: 70H99
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 76B75
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 1758107
zbMATH Keywords: Hamiltonian formulation
zbMATH Keywords: boundary energy flow
zbMATH Keywords: distributed-parameter systems
zbMATH Keywords: boundary control
zbMATH Keywords: infinite-dimensional Diract structure
zbMATH Keywords: Maxwell equations
zbMATH Keywords: Euler equations
zbMATH Keywords: ideal fluid
author: Arjan van der Schaft
author: B. Maschke
MaRDI profile type: Publication
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full work available at URL: s0393-0440(01)00083-3
OpenAlex ID: W2170448165
description: scientific article; zbMATH DE number 1758107