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- W2018698958 abstract "In this paper, we get a unique local strong solution to a 3D viscous liquid–gas two-phase flow model in a smooth bounded domain. Besides, a blow-up criterion of the strong solution for 25 3 μ > λ is obtained. The method can be applied to study a blow-up criterion of the strong solution to Navier–Stokes equations for 25 3 μ > λ , which improves the corresponding result about Navier–Stokes equations in Sun et al. (2011) [15] where 7 μ > λ . Moreover, all the results permit the appearance of vacuum. Dans cet article, on démontre lʼexistence dʼune solution classique tridimensionelle pour un modèle dʼécoulement visqueux diphasique (liquide–gaz) dans un domaine borné et régulier. De plus, on établit un critère dʼexplosion de la solution lorsque 25 3 μ > λ . La même méthode sʼapplique pour établir lʼexplosion de solution classique des équations de Navier–Stokes lorsque 25 3 μ > λ , ce qui améliore le résultat correspondant obtenu dans Sun et al. (2011) [15] où lʼexplosion est établie pour 7 μ > λ . Enfin, tous les résultats restent valables en présence de vide." @default.
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- W2018698958 date "2012-03-01" @default.
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- W2018698958 title "A blow-up criterion of strong solution to a 3D viscous liquid–gas two-phase flow model with vacuum" @default.
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- W2018698958 doi "https://doi.org/10.1016/j.matpur.2011.09.005" @default.
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