Sentence examples for sufficiently regular from inspiring English sources

It is shown in  [15,16] that for sufficiently regular initial values the regularity of the solution to the KdV equation is not diminished as it is evolved in time (although this does not rule out the appearance of high frequency oscillations).

We show how to design them such that they are sufficiently regular (not continuous but L∞) We then establish closed-loop stability, regularity of control, and regularity of solutions of the PDE.

"The government must ensure that there is sufficient funding available for all councils to be able to make sufficiently regular and separated food collections, to help develop a healthy anaerobic digestion sector," it said.

Therefore, we assume that the weak solution u is sufficiently regular, namely.

Unfortunately, solutions of uncertain nonlinear hyperbolic PDEs are not sufficiently regular.

The next result describes the precise blow-up scenario for sufficiently regular solutions to system (1.2).

(69) We can assume formally that w is sufficiently regular by density.

We show how to design coordinate transformations such that they are sufficiently regular (not continuous but L∞).

We show that the efficient evaluation of a truncated Fourier series at arbitrary points provides excellent results at a computational cost much smaller than carrying out a numerical simulation of the problem on a sufficiently fine regular grid that can reproduce comparable details of the reconnecting vortices.

But the Act doesn't cover all working mothers: the employee must have worked for the employer for a sufficiently lengthy and regular time, and private-sector employers must have at least 50 employees.

In general, single-crystal X-ray diffraction offers more structural information than these other techniques; however, it requires a sufficiently large and regular crystal, which is not always available.