In this paper, we are concerned with the Cauchy problem and wave-breaking phenomenon for a sine-type modified Camassa-Holm (alias sine-FORQ/mCH) equation. Employing transport equations theory Littlewood-Paley theory, first establish local well-posedness strong solutions of sine-FORQ/mCH equation in Besov spaces. light Moser-type estimates, able to derive blow-up criterion precise quantity Sobol...

We reconsider the classic problems of calculating “turbulent heating” and collisionless interspecies transfer of energy in drift wave turbulence. These issues are of interest for low collisionality, electron heated plasmas, such as ITER, where collisionless energy transfer from electrons to ions is likely to be significant. From the wave Poynting theorem at steady state, a volume integral over ...

Aliasing due to unwanted, spurious out-of-band signals is a problem in many applications that use A/D converters. These signals, if not filtered properly, can seriously impact the performance of a data-conversion system. This application note discusses the principles of anti-aliasing and its effect on system performance. It also offers advice, via an elegant and cost-effective, completesystem e...

Numerical experiments with a 2.5-layer and a 2-level model are conducted to examine the mechanism for the planetary scale selection of the Madden–Julian oscillation (MJO). The strategy here is to examine the evolution of an initial perturbation that has a form of the equatorial Kelvin wave at zonal wavenumbers of 1 to 15. In the presence of a frictional boundary layer, the most unstable mode pr...

Many physiologic functions fluctuate with time and the wave forms vary in complexity. Simple waves, such as the peripheral pulse, present no serious problem in analysis. When, however, the wave form is complex in appearance, existing analytic methods do not yield precise information. The general similarity between complex physiologic wave patterns and communication signals, such as sound waves,...

An experimental investigation of shock wave induced heating and compression in planar targets relevant to direct-drive inertial confinement fusion (ICF) was conducted on the OMEGA laser system. A physical understanding of shock wave heating, radiative heating, and heating by energetic electrons in direct-drive ICF is necessary because the achievement of energy gain requires accurate control of ...

To assess the effects of spatial frequency and phase alignment of mask components in pattern masking, target threshold vs. mask contrast (TvC) functions for a sine-wave grating (S) target were measured for five types of mask: a sine-wave grating (S), a square-wave grating (Q), a missing fundamental square-wave grating (M), harmonic complexes consisting of phase-scrambled harmonics of a square w...