Isoperimetric inequalities for polarization and virtual mass
type: Item
instance of: scholarly article
title: Isoperimetric inequalities for polarization and virtual mass
zbMATH Open document ID: 0628.35025
DOI: 10.1007/BF02792542
published in: Journal d'Analyse Mathématique
publication date: 1986-01-01T00:00:00Z
review text: The authors first derive a representation for the polarization and the virtual mass coefficients by means of boundary integrals. These formulas are then exploited to derive various isoperimetric inequalities between the polarization and virtual mass and certain geometrical quantities. The same method is then applied to potential flows.
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35C15
zbMATH DE Number: 4021716
zbMATH Keywords: representation
zbMATH Keywords: polarization
zbMATH Keywords: virtual mass coefficients
zbMATH Keywords: boundary integrals
zbMATH Keywords: isoperimetric inequalities
zbMATH Keywords: potential flows
author: L. E. Payne
author: G. A. Philippin
reviewed by: Catherine Bandle
MaRDI profile type: Publication
cites work: Q3658220
cites work: New isoperimetric inequalities for eigenvalues and other physical quantities
cites work: Isoperimetric Inequalities and Their Applications
cites work: Some isoperimetric inequalities for capacity, polarization, and virtual mass
cites work: Capacity, virtual mass and generalized symmetrization
cites work: Isoperimetric Inequalities in Mathematical Physics. (AM-27)
cites work: Q3247349
cites work: Virtual Mass and Polarization
full work available at URL: https://doi.org/10.1007/bf02792542
OpenAlex ID: W2075778562
description: scientific article; zbMATH DE number 4021716