Stability to the global large solutions of 3-D Navier-Stokes equations |
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Authors: | Guilong Gui |
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Institution: | a Academy of Mathematics & Systems Science, Chinese Academy of Sciences, Beijing 100190, China b Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, China |
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Abstract: | In this paper, we consider the stability to the global large solutions of 3-D incompressible Navier-Stokes equations in the anisotropic Sobolev spaces. In particular, we proved that for any , given a global large solution v∈C(0,∞);H0,s0(R3)∩L3(R3)) of (1.1) with and a divergence free vector satisfying for some sufficiently small constant depending on , v, and , (1.1) supplemented with initial data v(0)+w0 has a unique global solution in u∈C(0,∞);H0,s0(R3)) with ∇u∈L2(R+,H0,s0(R3)). Furthermore, uh is close enough to vh in C(0,∞);H0,s(R3)). |
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Keywords: | 35Q30 76D03 |
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