[{"key":"dc.contributor.author","value":"Purcell, Anthony","language":null},{"key":"dc.date.accessioned","value":"2010-03-29T20:55:37Z","language":null},{"key":"dc.date.available","value":"2010-03-29T20:55:37Z","language":null},{"key":"dc.date.issued","value":"1981","language":null},{"key":"dc.identifier.uri","value":"http:\/\/hdl.handle.net\/2429\/22971","language":null},{"key":"dc.description.abstract","value":"A new variational principle in fluid mechanics is presented, based on a generalized version of the conservation of particle label constraint. The variational principle represents an extension of the work of Clebsch (1859) and C.C. Lin (1959) and for the one-component case it describes a perfect fluid with a finite density of vortices ; for the two-component fluid it yields the Khalatnikov equations for rapidly rotating superfluid \u2074He. In the latter case two particle label constraints are needed, which express the possibility of labelling both an element of normal fluid and a superfluid vortex, averaged over many vortices. In addition a negative result for a variational formulation of viscous fluids based on a generalized particle label constraint is given.","language":"en"},{"key":"dc.language.iso","value":"eng","language":"en"},{"key":"dc.publisher","value":"University of British Columbia","language":null},{"key":"dc.rights","value":"For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https:\/\/open.library.ubc.ca\/terms_of_use.","language":null},{"key":"dc.title","value":"A new variational principle in fluid mechanics","language":"en"},{"key":"dc.type","value":"Text","language":"en"},{"key":"dc.degree.name","value":"Doctor of Philosophy - PhD","language":"en"},{"key":"dc.degree.discipline","value":"Physics","language":"en"},{"key":"dc.degree.grantor","value":"University of British Columbia","language":"en"},{"key":"dc.type.text","value":"Thesis\/Dissertation","language":"en"},{"key":"dc.description.affiliation","value":"Science, Faculty of","language":null},{"key":"dc.description.affiliation","value":"Physics and Astronomy, Department of","language":null},{"key":"dc.degree.campus","value":"UBCV","language":"en"},{"key":"dc.description.scholarlevel","value":"Graduate","language":"en"}]