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The Navier–Stokes–Voigt equations have received much attention by Oskolkov (1976, 1978b,a, 1988, 1995a, 1997), by Karazeeva and Oskolkov (1989), by Oskolkov and Shadiev (1992a,b, 1994), see also Ladyzhenskaya (2000b,a).These equations are also known as the Kelvin–Voigt equations of order zero. Since the original work of Oskolkov and his students the Navier–Stokes–Voigt equations have been increasingly of interest to mathematical analysts and to applied mathematicians, as witnessed by the work of Badday and Harfash (2023), Baranovskii (2023), Berselli and Bisconti (2012),Celebi et al. (2009),Damázio et al. (2016), Di Plinio et al. (2018), Kalantarov and Titi (2009, 2018), Kalantarov et al. (2009), Krasnoschok et al. (2020), Layton and Rebholz (2013), Niche (2016), Sviridyuk and Sukacheva (1998), Sukacheva (2000, 2022), Sukacheva and Kondyukov (2014), Straughan (2021d, 2023a, 2024a).

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Navier–Stokes–Voigt Equations

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  • 发表日期：

    2026年

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  • Brian Straughan

摘要

The Navier–Stokes–Voigt equations have received much attention by Oskolkov (1976, 1978b,a, 1988, 1995a, 1997), by Karazeeva and Oskolkov (1989), by Oskolkov and Shadiev (1992a,b, 1994), see also Ladyzhenskaya (2000b,a).These equations are also known as the Kelvin–Voigt equations of order zero. Since the original work of Oskolkov and his students the Navier–Stokes–Voigt equations have been increasingly of interest to mathematical analysts and to applied mathematicians, as witnessed by the work of Badday and Harfash (2023), Baranovskii (2023), Berselli and Bisconti (2012),Celebi et al. (2009),Damázio et al. (2016), Di Plinio et al. (2018), Kalantarov and Titi (2009, 2018), Kalantarov et al. (2009), Krasnoschok et al. (2020), Layton and Rebholz (2013), Niche (2016), Sviridyuk and Sukacheva (1998), Sukacheva (2000, 2022), Sukacheva and Kondyukov (2014), Straughan (2021d, 2023a, 2024a).