We prove that for the mean curvature flow of closed embedded hypersurfaces, intrinsic diameter stays uniformly bounded as approaches first singular time, provided all singularities are neck or conical type. In particular, assuming Ilmanen’s multiplicity one conjecture and no cylinder conjecture, we conclude in two-dimensional case always bounded. also obtain sharp $$L^{n-1}$$ bound curvature. T...

[1] The probability density function of the drop diameter at the ground is investigated during stratiform and convective precipitation intervals at Darwin, Australia. We show how, after a renormalization procedure of the drop diameter, the empirical probability density functions of both types of precipitation collapse in a single curve, indicating the possible existence of an invariant distribu...

Past studies of the variability of drop size distributions (DSDs) have used moments of the distribution such as the mass-weighted mean drop size as proxies for the entire size distribution. In this study, however, the authors separate the total number of dropsNt from theDSD leaving the probability size distributions (PSDs); that is, DSD5Nt3 PSD. The variability of the PSDs are then considered u...

in this research the quality of walnut kernels under impact loading were studied. due to unavailability of specific varieties of walnut in iran, the tests were carried out on the available genotypes. three different genotypes from walnut orchards of azarshar region were selected and were collected in 2009. a drop test device was designed and constructed to perform the experiments. the impact te...

drop size distribution in a mixer-settler is an essential design parameter, as obtaining drop size distribution will result in optimum performance of equipment. in this paper for obtaining drop size, several experiments have been performed with a single stage horizontal mixer-settler. a video technique has been used in order to measure the drop size in the mixer-settler with the help of a digit...

In soils under wheat cultivation, soil aggregates stability is increased and destructive effects of erosion decreased, due to organic matters (OM) application. This trail was conducted in Shavoor agriculture research station to determine of mean weight diameter (MWD) under different organic matter sources and amounts in Khuzestan province (at south west of Iran) via a split plot experiment base...