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For the associated nonlinear initial-and boundary-value problem, we prove the global-in-time existence of strong solutions (velocity, density and pressure). We also establish some other regularity properties of these solutions and find the conditions that guarantee the uniqueness of velocity and density. The main novelty of this work is the hypothesis that, in some subdomain of space, there may be a vacuum at the initial moment, that is, the possibility of the initial density vanishing in some part of the space domain.<\/jats:p>","DOI":"10.1063\/5.0155335","type":"journal-article","created":{"date-parts":[[2025,4,3]],"date-time":"2025-04-03T20:43:31Z","timestamp":1743713011000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":1,"title":["Strong solutions for the Navier\u2013Stokes\u2013Voigt equations with non-negative density"],"prefix":"10.1063","volume":"66","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9053-8442","authenticated-orcid":false,"given":"H. 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