The paper “Numerical reconstruction from the Fourier transform on the ball using prolate spheroidal wave functions” was published in “Inverse Problems” (Q1 WoS) journal. Doctor of physical and mathematical sciences R.G. Novikov is one of the authors of this article.More“Inverse scattering – Fourier analysis – super-resolution”
Structure of the seismic field of the baikal rift zone
A joint analysis of seismicity in the Baikal Rift Zone (BRZ) is carried out using modern instrumental data (Baikal Branch of the Federal Research Center “Geophysical Survey of the Russian Academy of Sciences,” 1963–2021) combined together with historical and paleoseismological data on earthquakes.More“Structure of the seismic field of the baikal rift zone”
Trigger mechanisms of gas hydrate decomposition, methane emissions and glacier breakup in polar regions as the result of deformation tectonic waves
This paper presents a new revolutionary theory of Academician Leopold Isaevich Lobkovsky on the impact of strong subduction earthquakes on the Earth’s climate and the catastrophic collapse of ice shelves as a trigger effect. A seismogenic-trigger mechanism is proposed for the activation of methane emission on the Arctic shelf in the late 1970s, which caused the onset of a sharp climate warming in the Arctic, as well as the intensive collapse of the ice sheet ice shelves of West Antarctica in the late 20th and early 21st centuries, accompanied by the release of methane from the underlying hydrate-bearing sedimentary rocks and the rapid climate warming in Antarctica.More“Trigger mechanisms of gas hydrate decomposition, methane emissions and glacier breakup in polar regions as the result of deformation tectonic waves”
Productivity within the epidemic-type seismicity model
The Geophysical Journal International published an article by Doctor of Physical and Mathematical Sciences G. Molchan and his Italian colleagues, devoted to the theoretical analysis of the productivity of seismic events. The productivity of a magnitude m event can be characterized in term of triggered events of magnitude above m – Δ: it is the number of direct ‘descendants’ νΔ and the number of all ‘descendants’ VΔ. There is evidence in favour of the discrete exponential distribution for both νΔ and VΔ with a dominant initial magnitude m (the case of aftershock cluster). We consider the general Epidemic Type Aftershock Sequence model adapted to any distribution of νΔ. Our first result shows that models with branching aftershock structure do not allow for the coincidence of distribution types of νΔ and VΔ (say, the discrete exponential, as in the scientific literature). The second problem is related to the tail behaviour of the VΔ distribution. We show the fundamental difference in tail behaviour of the VΔ – distributions for general-type clusters and clusters with a dominant initial magnitude: the tail is heavy in the former case and light in the latter. The real data demonstrate the possibilities of this kind.
Source: G. Molchan, E. Varini, A. Peresan Productivity within the epidemic-type seismicity model Geophysical Journal International, Volume 231, Issue 3, December 2022, Pages 1545–1557,DOI: 10.1093/gji/ggac269, Published: 22 July 2022
Nonlinear large-scale perturbations of steady thermal convective dynamo regimes in a plane layer of electrically conducting fluid rotating about the vertical axi
In «Mathematics» (Web of Science Q1, Scopus Q2, Impact Factor: 2.592) издательства MDPI published an article «Nonlinear large-scale perturbations of steady thermal convective dynamo regimes in a plane layer of electrically conducting fluid rotating about the vertical axis». This is a joint work of scientists from the IEPT RAS and the University of Porto (Portugalia) Simon Ranjith Jeyabalan, Roman Chertovskih, Silvio Gama и Vladislav Zheligovsky.More“Nonlinear large-scale perturbations of steady thermal convective dynamo regimes in a plane layer of electrically conducting fluid rotating about the vertical axi”
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.More“Inverse scattering – Fourier analysis – phase retrieval”
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.More“A strip with constant stresses on the cut: exact solutions”