{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,30]],"date-time":"2025-10-30T22:39:50Z","timestamp":1761863990064,"version":"build-2065373602"},"reference-count":21,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2019,6,28]],"date-time":"2019-06-28T00:00:00Z","timestamp":1561680000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we study a generalization of the well-known Kelvin-Voigt viscoelasticity equation describing the mechanical behaviour of viscoelasticity. We perform a Lie symmetry analysis. Hence, we obtain the Lie point symmetries of the equation, allowing us to transform the partial differential equation into an ordinary differential equation by using the symmetry reductions. Furthermore, we determine the conservation laws of this equation by applying the multiplier method.<\/jats:p>","DOI":"10.3390\/sym11070840","type":"journal-article","created":{"date-parts":[[2019,6,28]],"date-time":"2019-06-28T11:20:26Z","timestamp":1561720826000},"page":"840","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Symmetry Analysis and Conservation Laws of a Generalization of the Kelvin-Voigt Viscoelasticity Equation"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7067-4906","authenticated-orcid":false,"given":"Almudena P.","family":"M\u00e1rquez","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Cadiz, Facultad de Ciencias Campus del R\u00edo San Pedro, 11510 Puerto Real, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3599-6106","authenticated-orcid":false,"given":"Mar\u00eda S.","family":"Bruz\u00f3n","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Cadiz, Facultad de Ciencias Campus del R\u00edo San Pedro, 11510 Puerto Real, Spain"}]}],"member":"1968","published-online":{"date-parts":[[2019,6,28]]},"reference":[{"key":"ref_1","first-page":"21","article-title":"Analysis of the energy decay of a viscoelasticity type equation","volume":"24","author":"Trabelsi","year":"2016","journal-title":"Analele Stiintifice ale Universitatii Ovidius Constanta"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"6567","DOI":"10.1088\/0305-4470\/28\/23\/012","article-title":"Generalized viscoelastic models: Their fractional equations with solutions","volume":"28","author":"Schiessel","year":"1995","journal-title":"J. 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