Estimates of Derivatives in Sobolev Spaces in Terms of Hypergeometric Functions

Mathematical Notes - The paper deals with sharp estimates of derivatives of intermediate order $$k\le n-1$$ in the Sobolev space $$\mathring W^n_2[0;1]$$ , $$n\in\mathbb N$$ . The functions...     

Well-posedness of two pseudo-parabolic problems for electrical conduction in heterogeneous media

We prove a well-posedness result for two pseudo-parabolic problems, which can be seen as two models for the same electrical conduction phenomenon in heterogeneous media, neglecting the magnetic field. One of the problems is the concentration limit of the other one, when the thickness of the dielectric inclusions goes to zero. The concentrated problem involves a transmission condition through interfaces, which is mediated by a suitable Laplace-Beltrami type equation.     

Investigation of Relationships between Grain Structure and Inhomogeneous Deformation by Means of Laboratory-Based Multimodal X-Ray Tomography: Strain Accuracy Analysis

Experimental Mechanics - The internal strain distribution developing during plastic deformation is important for understanding the mechanical properties of polycrystalline materials. Such...     

STEADY-STATE CREEP OF A LONG NARROW MEMBRANE INSIDE A HIGH RIGID MATRIX AT VARIABLE TRANSVERSE PRESSURE

Journal of Applied Mechanics and Technical Physics - This paper describes a problem of steady-state creep of a long narrow rectangular membrane in the case of a linear dependence between the...     

Phase Transitions in Frustrated ErBaCo4O7 + x (x = 0–0.06) Cobaltites at a Small Deviation from Stoichiometry

Journal of Experimental and Theoretical Physics - The structural (lattice metric) and elastic characteristics of ErBaCo4O7 + x cobaltites, which are subjected to different heat treatment and are...     

Robustness of the Spin-Navigator Based Method for the Manipulation of the Beam Polarization Axis in a Spin-Transparent Storage Ring

Physics of Atomic Nuclei - We have investigated the robustness of the spin-navigator based method for manipulating the beam polarization to bend magnet installation errors. Toward that end,...     

The Interference of Magnetoelastic Waves in an Yttrium Iron Garnet Film

Physics of the Solid State - The interference of excited and received by current antennae magnetoelastic waves counterpropagating in an yttrium iron garnet film is experimentally studied. It is...     

A Nonclinical Spectroscopic Approach for Diagnosing Covid-19: A Concise Perspective

Journal of Applied Spectroscopy - With the COVID-19 outbreak, many challenges are posed before the scientific world to curb this pandemic. The diagnostic testing, treatment, and vaccine development...     

Strong Interference Luminescence of Mixed Modes in the Neighborhood of the Critical Value of Exciton Decay

Optics and Spectroscopy - The results of a numerical calculation of the dispersion and luminescence spectra of mixed exciton modes of crystals of the CdS ( $${{A}_{{n = 1}}}$$ ) type are analyzed...