Approximations of the Sedov self-similar solution for a strong point explosion in a medium with the power-law density distribution ρo ∝ r−m are reviewed and their accuracy are analyzed. Taylor approximation is extended to cases m 6= 0. Two approximations of the solution are presented in the Lagrangian coordinates for spherical, cylindrical and plane geometry. These approximations may be used fo...

Approximations of the Sedov self-similar solution for a strong point explosion in a medium with the power-law density distribution ρ ∝ r−m are reviewed and their accuracies are analyzed. The Taylor approximation is extended to cases m / = 0 and spherical, cylindrical and plane geometry. Two approximations of the solution are presented in the Lagrangian coordinates for all types of geometry. The...

The present study investigates buckling characteristics of both nonlinear symmetric power and sigmoid functionally graded (FG) beams. The volume fractions of metal and ceramic are assumed to be distributed through a beam thickness by the sigmoid-law distribution (S-FGM), and the symmetric power function (SP-FGM). These functions have smooth variation of properties across the boundary rather tha...

The invasion of Spartina alterniflora significantly affected the local ecosystem of Western Pacific Ocean where Moerella iridescens lives. Five patches with different invasion stages of S. alterniflora were selected and the influence on distribution of M. iridescens was studied on the coast of Wenzhou Bay, China in 2007. The aggregated distribution pattern was proved by using Taylor&#39s power ...

We derive relations for the decay of the kinetic and magnetic energies and the growth of the Taylor and integral scales in unforced, incompressible, homogeneous, and isotropic three-dimensional magnetohydrodynamic (3DMHD) turbulence with power-law initial energy spectra. We also derive bounds for the decay of the cross and magnetic helicities. We then present results from systematic numerical s...

Scale-free networks arise from power-law degree distributions. Due to the finite size of real-world networks, the power law inevitably has a cutoff at some maximum degree ∆. We investigate the relative size of the giant component S in the large-network limit. We show that S as a function of ∆ increases fast when ∆ is just large enough for the giant component to exist, but increases ever more sl...