Inverse scattering – Fourier analysis – phase retrieval

The paper titled “Phaseless inverse scattering with background information” was published in “Inverse Problems” (Q1 WoS) journal. Doctor of Physical and Mathematical sciences, Senior Researcher of IEPT RAS Novikov R.G. is one of coauthors.

The work deals with phaseless inverse scattering for the multidimensional Schrödinger equation with unknown potential v using the method of known background scatterers.

In particular, in dimension d ⩾ 2, the authors show that |f1|2 at high energies uniquely determines v via explicit formulas, where f1 is the scattering amplitude for v + w1, where w1 is an a priori known nonzero background scatterer, under the condition that supp v and supp w1 are sufficiently disjoint.

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A strip with constant stresses on the cut: exact solutions

The Wiley-VCH journal “Zeitschrift für Angewandte Mathematik und Mechanik” (Web of Science Q3, Scopus Q2, Impact Factor JCR: 1.103) published an article “A strip with constant stresses on the cut: exact solutions”. Among the authors are employees of the IEPT RAS: senior researcher, Ph.D. A.P. Kerzhaev and senior researcher, Ph.D. I.V. Menshov.

We construct exact solutions of three boundary value problems in the theory of elasticity for an infinite strip with a central transverse cut on which constant normal stresses are specified (even-symmetric deformation). We consider three variants of homogeneous boundary conditions on the strip sides: (1) free sides, (2) firmly clamped sides, and (3) there are identical stiffeners on the strip sides. The solutions of all problems are represented as series in Papkovich–Fadle eigenfunctions whose coefficients are determined from simple closed formulas.

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A group of authors of IEPT RAS presented the Institute’s WEB-GIS current state which unites desktop geoinformation projects of different scientific groups and gives users a possibility to view the projects data. Content of two projects was described: prediction of earthquakes on a global scale and two regional projects (Black and Caspian Seas, Italy) on the seismogenic nodes and lineaments.

The materials of the speech can be found here. Conference website. Proceeding of the conference.

Approaches to Solving the Maximum Possible Earthquake Magnitude (Mmax) Problem

The problem of estimation the maximum possible magnitude of regional earthquakes Mmax is examined. Statistical and paleoseismological approaches to this problem are combined. Within the framework of the statistical approach, the method of statistical moments, the Bayes method, the method based on the theory of extreme values ​​(EVT) are examined and compared.

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Determining the thermal stresses in elastic plates is a necessary component in strength calculations of elements of thin-walled structures, for example, the skin of aircraft and rockets in aerodynamic heating conditions.

Knowledge of the magnitude and nature of the action of thermal stresses is necessary for a comprehensive analysis of the strength of the structure. Thermal stresses in themselves and in combination with mechanical stresses from external forces can cause cracks and destruction of structures made of materials with increased fragility.