We investigate rescaling transformations for the Vlasov-Poisson and Euler-Poisson systems and derive in the plasma physics case Lyapunov functionals which can be used to analyze dispersion effects. The method is also used for studying the long time behaviour of the solutions and can be applied to other models in kinetic theory (2-dimensional symmetric Vlasov-Poisson system with an external magn...

The modified Gross-Pitaevskii equation was derived and solved to obtain the 1D solution in the zero-energy limit. This stationary solution could account for the dominated contributions due to the kinetic effect as well as the chemical potential in inhomogeneous Bose gases. Studies of collision phenomena in rather cold gases, e.g., dilute Bose gases, have recently attracted many researchers' att...

Abstract This research purposes to promote a Gases Theory Representation Instrument (GTRI) as tool identify the students’ conception on kinetic theory of gases. The method used in this was FODEM (Formative Development Methods) model which has three comprehensive steps, are need analysis, implementation, and formative evaluation. participants involved were 26 high school students Sundanese tribe...

We present a kinetic theory of homogeneous bubble nucleation based on explicit calculation of the single-molecule evaporation and condensation rates as a function of the size of the vapor embryo. The surface condensation rate is calculated from the kinetic theory of gases, and the surface evaporation rate is related to the rate of escape of molecules from a potential well in the field establish...

First-stage mercury oxidation reactions typical of coal combustion flue gases were investigated. The present study is a determination of the kinetic and thermodynamic parameters of the bimolecular reactions, Hg + Cl(2) <--> HgCl + Cl, Hg + HCl <--> HgCl + H, and Hg + HOCl <--> HgCl + OH, at the B3LYP/RCEP60 VDZ level of theory over a temperature range of 298.15 to 2000 K at atmospheric pressure...

We prove an existence theorem for a singular quadratic integral equation with supremum. The quadratic integral equation studied below contains as a special case numerous integral equations encountered in the theory of radiative transfer and in the kinetic theory of gases. We show that the singular quadratic integral equations with supremum has a monotonic solution in C[0, 1]. The concept of mea...