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Thus, a regularity for which there are general theoretical grounds will be more readily called a law of nature than an empirical regularity that cannot be subsumed under more general laws or theories.
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To prove the next theorem, we need a regularity condition for v such that for 1 ≤ p < ∞, we assume that for a measurable set E ⊂ Q and for σ(E) ≤ θσ(Q) with 0 ≤ θ ≤ 1, we get v ( E ) ≤ 1 - ( 1 - θ ) p v ( Q ).
The aim of this paper is to establish a regularity criterion for it.
This paper proves a regularity criterion for the 3D generalized Hall-MHD system.
Then a regularity result for the solution u to the Cauchy problem (2) is shown.
In [22], a regularity criterion for the 2D MHD system with zero magnetic diffusivity was obtained.
In this paper, a regularity criterion for the 3D magneto-micropolar fluid equations is investigated.
Next, we prove a regularity result for the solutions of (1.1).
We prove a regularity criterion for weak solutions to the Navier-Stokes equations in three-space dimensions.
The following theorem gives an a priori estimate which may be used in establishing a regularity result for the solution of (2.1)–(2.1).
Now, our goal is to give a regularity result for the evolutionary variational inequality (3.1), in particular, we prove that is continuous on.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com