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pro vyhledávání: '"Chenyin Qian"'
In this paper, we consider the conditional regularity of weak solution to the 3D Navier--Stokes equations. More precisely, we prove that if one directional derivative of velocity, say $\partial_3 u,$ satisfies $\partial_3 u \in L^{p_0,1}(0,T; L^{q_0}
Externí odkaz:
http://arxiv.org/abs/2102.06497
Autor:
Tian Huang, Chenyin Qian
Publikováno v:
Mathematical Methods in the Applied Sciences. 46:2906-2940
Publikováno v:
Journal of Applied Analysis & Computation. 12:361-377
Autor:
Chenyin Qian, Yue Qu
Publikováno v:
Journal of Differential Equations. 306:333-402
In this paper, we investigate the 3D inhomogeneous incompressible asymmetric fluids system with density-dependent viscosity. By the assumption of the smallness of initial velocity in the critical Besov space, B ˙ p , 1 3 / p − 1 for 1 p 6 and the
Publikováno v:
Journal of Differential Equations. 298:500-527
In this paper, we consider the conditional regularity of weak solution to the 3D Navier–Stokes equations. More precisely, we prove that if one directional derivative of velocity, say ∂ 3 u , satisfies ∂ 3 u ∈ L p 0 , 1 ( 0 , T ; L q 0 ( R 3 )
Publikováno v:
Mathematische Annalen.
Autor:
Chenyin Qian, Ping Zhang
Publikováno v:
Methods and Applications of Analysis. 28:507-546
Autor:
Chenyin Qian, Daorui Yuan
Publikováno v:
Mathematische Nachrichten. 293:1968-1984
Autor:
Chenyin Qian, Reinhard Farwig
Publikováno v:
Journal of Elliptic and Parabolic Equations. 6:311-342
The asymptotic behavior for a class of parabolic p-Laplace equations in an open bounded or unbounded domain of $${\mathbb{R}}^N$$ R N is investigated. Based on a general condition on the nonlinearity f(x, u) and the invading domain technique, the glo
Autor:
Chenyin Qian, Luman Wang
Publikováno v:
Nonlinear Analysis. 228:113185