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## Scientific seminar of the International integrative scientific research laboratory of Kamchatka extreme events

Scientific seminar of the International integrative scientific research laboratory of Kamchatka extreme events (headed by Parovik R.I, Dr. of Sci. (Phys.-Math.)) took place on May 17, 2023 at Vitus Bering Kamchatka State University. The researchers of IKIR FEB RAS made two scientific presentations, based on dissertation investigations.

**Gapeev Maxim, post-graduate student of Vitus Bering Kamchatka State University, Junior Researcher of the Laboratory of acoustic investigations of IKIR FEB RAS.**

** Title: ****"**Stochastic surface movement as a model of earthquake source".

**Abstract.** The work is devoted to the construction of a model for the earth crust deformation under the impact of earthquake stochastic source in medium elastic approximation. Fracture surface geometry serves as the stochastic component. The surface is constructed on the basis of random deformation of a rectangular court, which is considered to be a standard approximation of a source form in geophysics. The surface equation was obtained in the form an interpolation Lagrange polynomial. Resulting solutions are constructed on the bases of Volterra dislocation principle adapted for the case of random elastic half-space. The paper presents the results of numerical modeling of the earth crust deformation fields under the impact of earthquake stochastic source. Comparison with a standard case, when dislocation is in the form of a rectangular court with movement constant vector, was carried out.

**Kazakov Evgeniy, Principle programmer of the Laboratory of electromagnetic radiation of IKIR FEB RAS.**

** Title:** *"Properties of a hereditary system associated with hydromagnetic dynamo problem".*

** Abstract.** The presentation is devoted to the discussion of some properties of a hereditary dynamic system, which is a model for a two-mode hydromagnetic dynamo. One of the main properties, discussed in the paper, is the existence and the uniqueness of the solution of this system using a fixed point principle. The work also presents a theorem on the elimination of a hereditary term for the kernels having exponential asymptotic. A numerical scheme to model systems of such a kind is presented.

The presentations were highly rated by the seminar participants and the papers were recommended to be dissertations for the candidate degrees (PhD).