Schwarz Reflection Principle, Boundary Regularity and Compactness for J-Complex Curves

We establish the Schwarz Reflection Principle for $J$-complex discs attached to a real analytic $J$-totally real submanifold of an almost complex manifold with real analytic $J$. We also prove the precise boundary regularity and derive the precise convergence in Gromov compactness theorem in \calc^{k,\alpha}-classes.Comment: 21 page

Influence of distortions of key frames on video transfer in wireless networks

In this paper it is shown that for substantial increase of video quality in wireless network it is necessary to execute two obligatory points on modernization of the communication scheme. The player on the received part should throw back automatically duplicated RTP packets, server of streaming video should duplicate the packets containing the information of key frames. Coefficients of the mathematical model describing video quality in wireless network have been found for WiFi and 3G standards and codecs MPEG-2 and MPEG-4 (DivX). The special experimental technique which has allowed collecting and processing the data has been developed for calculation of values of factors.Comment: 6 pages, 4 figures, 2 Table

Combustion theory for liquids with a free surface. 3: Special problems

Two special problems concerning the combustion of liquids with a free surface, i.e., flame quenching during the mixing of a burning liquid inside a container and liquid burnout from a porous layer, are analyzed using a quasi-one-dimensional model. The critical parameters corresponding to the quenching of a burning fluid with a free surface are determined. Determinations are also made of the limiting pressure gradients corresponding to the transition from the combustion mode where the liquid evaporates from the surface of a porous layer to the mode where the phase transition surface lies inside the porous layer

Coupled dipole method for modeling optical properties of large-scale random media

We present an extension of the coupled dipole approximation technique to model optical properties of large-scale slabs of homogeneous and inhomogeneous materials. This method is based on a modification of the Green\u27s function to take into account the interaction between dipoles located at arbitrary distances within the slab. This method allows modeling of various aspects of the structural morphology of composite materials, including component size and spatial distribution as well as surface roughness effects. Our procedure provides an adequate description of far-field optical properties such as the specular and diffuse reflection of light

Stochastic sensing of relative anisotropic polarizabilities

We describe the concept of stochastic scattering polarimetry. This method allows determination of the anisotropic polarizability of a scattering object using a statistical analysis of the polarimetrically measured intensity distributions in the wave zone (far field). We show that this anisotropic polarizability may be determined even in situations where the state of polarization of the incident field is not known. The efficiency of the recovering procedure is demonstrated by several examples of light scattering in both far- and near-field geometries