{ "id": "1812.09294", "version": "v1", "published": "2018-12-21T18:05:06.000Z", "updated": "2018-12-21T18:05:06.000Z", "title": "Exact Solutions for the Fluid Impulse for Incompressible and Compressible Flows", "authors": [ "M. Michalak", "B. K. Shivamoggi" ], "categories": [ "physics.flu-dyn" ], "abstract": "Impulse formulations of the Euler (and Navier-Stokes) equations were considered by Kuz'min [1] and Oseledets [2] and different impulse formulations are produced by various gauge transformations (Russo and Smereka[3]). The extension of the Kuz'min-Oseledets formulation to the compressible, barotropic case was considered by Tur and Yanovsky [4] and Shivamoggi [5]. Here, we construct exact solutions for the fluid impulse density for incompressible and compressible barotropic flows and discuss their physical signifcance.", "revisions": [ { "version": "v1", "updated": "2018-12-21T18:05:06.000Z" } ], "analyses": { "keywords": [ "compressible flows", "impulse formulations", "incompressible", "construct exact solutions", "fluid impulse density" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }