We consider the process of diffusion scattering of a wave function given on the phase space. In this process the heat diffusion is considered only along momenta. We write down the modified Kramers equation describing this situation. In this model, the usual quantum description arises as asymptotics of this process for large values of resistance of the medium per unit of mass of particle. It is ...

We study the stochastic heat equation ∂tu = Lu+σ(u)Ẇ in (1+1) dimensions, where Ẇ is space-time white noise, σ : R → R is Lipschitz continuous, and L is the generator of a Lévy process. We assume that the underlying Lévy process has finite exponential moments in a neighborhood of the origin and u0 has exponential decay at ±∞. Then we prove that under natural conditions on σ: (i) The νth absolut...

In the following paper we will consider Navier-Stokes problem and it's interpretation by hyperbolic waves, focusing on wave propagation. We will begin with solution for linear waves, then present problem for non-linear waves. Later we will derive for numerical solution using PDE's. Also we will design a Matlab program to solve and simulate wave propagation. Keywords1: Navier-Stokes equations, F...

In Extracorporeal Shock Wave Lithotripsy (ESWL) underwater shock wave focusing generates high pressures at very short duration of time inside human body. However, it is not yet clear how high temperatures are enhanced at the spot where a shock wave is focused. The estimation of such dynamic temperature enhancements is critical for the evaluation of tissue damages upon shock loading. For this pu...

Aims. We identify the source of fast-drifting decimetric–metric radio emission that is sometimes observed prior to the so-called flare continuum emission. Fast-drift structures and continuum bursts are also observed in association with coronal mass ejections (CMEs), not only flares. Methods. We analyse radio spectral features and images acquired at radio, Hα, EUV, and soft X-ray wavelengths, du...

recombinant human interferon alpha 2a (rhifn α -2a) production and cell growth were monitored in a set of genetically modified e. coli strains (msd1519, msd1520, msd 1521, msd 1522, msd 1523) producing rhifn α -2a. the growth was followed at od 600 nm, changes in cell physiology were detected by pyrolysis mass spectrometry (pyms) of cell biomass and recombinant protein production was determined...

Triploidy in grass carp, Ctenopharyngodon idella Valenciennes, 1844, was induced on fertilized eggs to compare cold and heat shocks. Two simplified methods explained for verification of triploidy in grass carp. The cold shock (7 ?C) was given in three treatments for 30 min starting 2.0, 2.5 and 4.0 min after fertilization. In cold shock, the start point (2.0 min after fertilization) showed th...

The effect of distributed bubble nuclei sizes on shock propagation in dilute bubbly liquids is computed using a continuum two-phase model. An ensemble-averaging technique is employed to derive the statistically averaged equations and a finitevolume method is used to solve the model equations. The bubble dynamics are incorporated using a Rayleigh-Plesset-type equation which includes the effects ...

Heat shock loci in the polytene chromosomes of the fruit fly Drosophila undergo a characteristic change in appearance that coincides with the onset of gene expression. Petesch and Lis (2008) now show that nucleosomes are lost across the entire Hsp70 locus in an initial wave that precedes transcription by RNA polymerase II.

This paper proposes a new lattice Boltzmann (LB) method for the study of shock wave propagation in elastic solids. The method, which implements a flux-corrected transport (FCT) algorithm, contains three stages: collision, streaming, and correction. In the collision stage, distribution functions are updated. In the streaming stage, the distribution functions are shifted between lattice points. G...