Sentence examples for regularity in terms of from inspiring English sources

The lack of the the data of degree of regularity for m>3 makes the difficulty of the prediction of the degree of regularity in terms of m.

In this paper we present a new criterion for regularity in terms of the Hilbert space localizations of an unbounded operator.

We study the existence, uniqueness and continuity of ¯¯ω(x) depending on properties of U, and how to attain higher regularity in terms of the geometry (curvature) of U.

After testing an array of balloons and condoms, we chose medical urinary catheters for their strength and regularity in terms of their duration of operation.

Such estimates allow to bound size and oscillations of solutions and their gradients pointwise, and entail in a unified approach virtually all kinds of regularity properties in terms of the given datum and regularity of coefficients.

For the 3D Navier-Stokes equations with boundary conditions, Cao and Titi first introduced a regularity criterion in terms of only one component of the pressure gradient based on the breakthrough of the global regularity of the 3D primitive equations [19].

We are unable to establish any other regularity criterion in terms of or.

We establish a new magnetic regularity criterion in terms of the magnetic field.

We prove a regularity criterion in terms of vorticity in the homogeneous Besov space B ˙ ∞, ∞ 0. MSC:35Q30, 76D03, 76D05, 76D07.

Motivated by the ideas described in [17] and [18], the main goal of this paper is to establish another regularity criterion in terms of the condition on the magnetic field.

Here, a regularity criterion in terms of the vorticity and oxygen concentration is established to guarantee smoothness up to time T. It will help people to gain understanding of the model.