Classical Solutions for a Class of Burgers Equation

In this paper we consider a class of Burgers equation. We propose a new method of investigation for existence of classical solutions.Comment: arXiv admin note: substantial text overlap with arXiv:1806.1008

Existence and Smoothness of Navier-Stokes Equations

In this paper we propose new method for proving of global solutions for 3D Navier-Stokes equations. This complies an application to the Clay Institute Millennium Prize Navier Stokes Problem. The proposed method can be applied for investigation of global solutions for other classes of PDEs

Variable stars in the field of open cluster NGC 6939

The results of CCD photometric survey performed with the 90/180 cm Schmidt-Cassegrain Telescope of the Nicolaus Copernicus University Astronomical Observatory in Piwnice (Poland) and the 70/172 cm Schmidt Telescope of the National Astronomical Observatory (NAO) at Rozhen (Bulgaria) of the field of 1 Gyr old open cluster NGC 6939 are presented. Twenty two variable stars were detected, four of them previously known. Four eclipsing systems (3 detached and 1 contact binary) were found to be members of the cluster. Analysis of the brightness of the contact binary V20 strongly supports the distance to the cluster of 1.74 +/- 0.20 kpc. The small population of contact binaries in NGC 6939 confirms also the relatively young age of the cluster.Comment: 9 pages, 3 figures, accepted for publication in A

The PADME Tracking System

The Positron Annihilation into Dark Matter Experiment (PADME) at LNF-INFN Linac aims to perform a search for dark photons in positron-on-target annihilation process. A key component of the setup is the tracking system which allows vetoing the bremsstrahlung-induced background. Different solutions for the detector will be shown and will be discussed. Attention will be paid to the possibility to construct a hybrid tracker based on plastic scintillator fibers read out by CCD matrices.Comment: presented at RAD 2016 Conferenc

Microscopic structure of metal whiskers

We present TEM images of the interior of metal whiskers (MW) grown on electroplated Sn films. Along with earlier published information, our observations focus on a number of questions, such as why MWs' diameters are in the micron range (significantly exceeding the typical nano-sizes of nuclei in solids), why the diameters remain practically unchanged in the course of MW growth, what is the nature of MW diameter stochasticity, and what is the origin of the well-known striation structure of MW side surfaces. In an attempt to address such questions we performed an in-depth study of MW structure at the nanoscale by detaching a MW from its original film, reducing its size to a thin slice by cutting its sides by a focused ion beam, and performing TEM on that structure. Our observations revealed a rich nontrivial morphology suggesting that MW may consist of many side by side grown filaments. This structure appears to extend to the outside whisker surface and be the reason for the striation. In addition, we put forward a theory where nucleation of multiple thin metal needles results into micron-scale and larger MW diameters. This theory is developed in the average field approximation similar to the roughening transitions of metal surfaces. The theory also predicts MW nucleation barriers and other observed features.Comment: 8 pages, 7 figure

Variational band theory of vibronic polarons in crystals. III. Numerical calculations

In the preceding Part II, we derived variational equations for the phonon Fourier amplitudes and for the Fourier amplitudes of the fractional contribution of the electronic bands to the trial variational state. These equations are now solved by means of iterations for each value of the total momentum in order to obtain the energy vs. momentum relation for the ground state. Another result is mapping out the phonon and band Fourier amplitudes in the parameter space of the mixing constant and the electron hopping energy.Comment: 9 pages and 23 figures pdf format, paper based on a Ph.D. thesis by A.G.

Intrinsic Nanoscale Phase Seperation of bulk As2S3 Glass

Raman scattering on bulk AsxS1-x glasses showes that vibrational modes of As4S4 monomer first appear near x=0.38, and their concentration increases precipitously with increasing x, suggesting that the stoichiometric glass (x=0.40) is intrinsically phase seperated into small As-rich(As4S4) and large S-righ clusters. Support for the Raman-active vibrational modes of the orpiment-like and realgar-like nanophases is provided by ab-initio density functional theory calculations on appropriate clusters. Nanoscale phase seperation provides a basis for understanding the global maximum in the glass transition temperature Tg near x=0.40, and the departure from Arrhenius temperature activation of As2S3 melt viscosities

The Intermediate Phase in Ternary GexAsxSe1-2x Glasses

Melt-quenched AsxGexSe1-2x glasses over the composition range, 0 < x < 0.26, are examined in Raman scattering, T-modulated Differential Scanning Calorimetry (MDSC), and 119Sn Mossbauer spectroscopy measurements. The non-reversing enthalpy near Tg, DHnr(x), accessed from MDSC shows a global minimum (~ 0) in the xc(1) = 0.09 < x < xc(2) = 0.16 range, and increases by an order of magnitude both at x xc(2). Raman mode frequency of corner-sharing Ge(Se1/2)4 tetrahedra studied as a function of x, also shows three distinct regimes (or power-laws, p) that coincide with DHnr(x) trends. These regimes are identified with mechanically floppy (x < xc(1)), intermediate (xc(1) xc(2)) phases. The Raman elasticity power-law in the intermediate phase, p1 = 1.04(3), and in the stressed rigid phase, p2= 1.52(5), suggest effective dimensionalities of d = 2 and 3 respectively

Diet of the Golden Eagle (Aquila chrysaetos) (Aves: Accipitridae) in Sarnena Sredna Gora Mountains (Bulgaria)

The material of pellets and food remains (as bone and shell fragments, hair, and feathers) was collected after the breeding season from below and within one nest of Golden Eagles on rocks at Sarnena Sredna Gora Mts., north-east of Stara Zagora town. Our study was carried out during a three year period (1999, 2000 and 2002). Total 65 specimens from minimum 10 species of preys were identified among the food remains from which the reptiles dominated. Mostly preyed by the Golden Eagles couple were the tortoises (Testudo sp.) with 55.4% from all registered individual preys. The most common prey from mammals was the hedgehog (Erinaceus roumanicus) with 13.8%. Interesting fact was and the relatively high percentage of the cats with 7.7% (possibly most of them domestic ones)

The Discrepant Kinematics of ORLs and CELs in NGC 7009 as a Function of Ionization Structure

We present spatially- and velocity-resolved echelle spectroscopy for NGC 7009 obtained with the UVES spectrograph at the European Southern Observatory's Very Large Telescope. Our objective is to analyze the kinematics of emission lines excited by recombination and collisions with electrons to determine whether similarities or differences could be useful in elucidating the well-known abundance discrepancy derived from them. We construct position-velocity maps for recombination, fluorescence, charge transfer, and collisionally-excited lines. We find a plasma component emitting in the C II, N II, O II, and Ne II recombination lines whose kinematics are discrepant: They are incompatible with the ionization structure derived from all other evidence and the kinematics derived from all of these lines are unexpectedly very similar. We find direct evidence for a recombination contribution to [N II] 5755. Once taken into account, the electron temperatures from [N II], [O III], and [Ne III] agree at a given position and velocity. The electron densities derived from [O II] and [Ar IV] are consistent with direct imaging and the distribution of hydrogen emission. The kinematics of the C II, N II, O II, and Ne II lines does not coincide with the kinematics of the [O III] and [Ne III] forbidden emission, indicating that there is an additional plasma component to the recombination emission that arises from a different volume from that giving rise to the forbidden emission from the parent ions within NGC 7009. Thus, the chemical abundances derived from either type of line are correct only for the plasma component from which they arise. Apart from [N II] 5755, we find no anomaly with the forbidden lines usually used to determine chemical abundances in ionized nebulae, so the abundances derived from them should be reliable for the medium from which they arise.Comment: accepted for publication in The Astrophysical Journa