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Browsing by Subject "regularity"

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  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    On the regularity of solution to the time-dependent p-Stokes system
    (Wydawnictwa AGH, 2020) Berselli, Luigi C.; Růžička, Michael
    In this paper we consider the time evolutionary $p$-Stokes problem in a smooth and bounded domain. This system models the unsteady motion or certain non-Newtonian incompressible fluids in the regime of slow motions, when the convective term is negligible. We prove results of space/time regularity, showing that first-order time-derivatives and second-order space-derivatives of the velocity and first-order space-derivatives of the pressure belong to rather natural Lebesgue spaces.
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Singular quasilinear convective systems involving variable exponents
    (Wydawnictwa AGH, 2024) Moussaoui, Abdelkrim; Nabab, Dany; Vélin, Jean
    The paper deals with the existence of solutions for quasilinear elliptic systems involving singular and convection terms with variable exponents. The approach combines the sub-supersolutions method and Schauder's fixed point theorem.