In this paper,we present some new regularity criteria for suitable weak solutions to the 3D corotational Beris-Edwards system.First,we prove that suitable weak solutions are regular if the scaled Lp;q-norm of the velo...In this paper,we present some new regularity criteria for suitable weak solutions to the 3D corotational Beris-Edwards system.First,we prove that suitable weak solutions are regular if the scaled Lp;q-norm of the velocity field or gradient of velocity is small with 2/p+3/q=2,1<p≤∞.Next,we giveε-regularity criteria in terms of velocity field u and director field Q in Lorentz spaces,which extends the results obtained by Wang et al(J.Evol.Equ.21:1627-1650,2021)for Navier-Stokes equations.展开更多
基金partially supported by Fundamental Research Program of Shanxi Province(No.202403021212002)。
文摘In this paper,we present some new regularity criteria for suitable weak solutions to the 3D corotational Beris-Edwards system.First,we prove that suitable weak solutions are regular if the scaled Lp;q-norm of the velocity field or gradient of velocity is small with 2/p+3/q=2,1<p≤∞.Next,we giveε-regularity criteria in terms of velocity field u and director field Q in Lorentz spaces,which extends the results obtained by Wang et al(J.Evol.Equ.21:1627-1650,2021)for Navier-Stokes equations.
