In particular, the first well-known regularity criterion is due to Serrin [14]: if the Leray-Hopf weak solution u of the 3D Navier-Stokes equations satisfies ∫ 0 T ∥ u ( ⋅, t ) ∥ L p q d t < ∞ with 2 q + 3 p = 1 and 3 < p ≤ ∞, then u is regular on ( 0, T ].
The regularity is mainly due to the fact that users spend most of their time in a small number of locations.
However, such regularity is not due to latent periodicity of 3 bp.
The good regularity of these samples is due to the presence of PVA.
They then treated arbitrary ( λ n ) n ∈ N satisfying (D1.a), either (D2.a) or (D4.a) and (D3.a) and the case of bounded C. As an intermediate step, they used (improved versions of) uniform effective rates of asymptotic regularity which were due to Leuştean [28] in 2007.
Finally, we give the proof of the high-order regularity estimates of ((m,n,u)), which is due to [22 24, 30] for the single-fluid Navier-Stokes equations.
This is due to the decreasing degree of regularity beyond 5°.
In observing the regularity that ferns die when depraved of water, I have concluded that this is due to ferns' nature.
This is due to the fact that the angle entropy of the buried residues is lower than that of the exposed ones, demonstrating the higher regularities of the protein fragments in core regions.
We infer that the repeated connection involves an essential relation between two things: e.g., it is not accidental that the purging of bile follows the ingestion of scammony, for regularities cannot be due to chance.
