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1PLenary session 21
At ICMMG, numericalmethods and programs for environmental modeling and forecasting have been de�veloped (V. V. Penenko, A. V. Penenko, 2021 and earlier). In particular, methods have been developed for identifying pollution sources based on sensitivity operators based on measurement data. Their purpose is to compensate for the lack of information about the studied processes based on the joint use of mathematical models and observational data. Specialized experimental versions have been developed for use: in systems for monitoring and forecasting the quality (pollution) of the atmosphere in cities and industrial areas; in systems for processing experimental data to study the processes of development of living systems.
At ICMMG, methods have been developed for the optimal placement of elements of an environmental monitoring network with an assessment of the reliability of such a network and its throughput (A.S. Rodionov,
G. I. Toktoshov, 2020).
One of the IP components is a specialized GIS shell for visualization and modeling of geospatial data ITRIS (Integrated Tsunami Research and Information System), developed at ICMMG (I. V. Marinin,2021 and earlier). The ITRIS system was used to simulate the propagation of tsunami waves in the sea and on reservoirs, to esti�mate the tsunami risk (V. K. Gusyakov, 2020): see http://tsun.sscc.ru/IMP_wld_proj.htm
The Center for Collective Use of the Siberian Supercomputer Center of the Siberian Branch of the Russian Academy of Sciences operates at ICMMG, the activities of which are characterized by the following indicators:
�total performance of computing clusters�200 Teraflops,
�more than 200 users from 24 organizations,
�users carry out more than 100 research projects per year for a total amount of more than 700 million
rubles. The stages of development and implementation of IP include:
�creation of an instrumental monitoring network,
�development on its basis of an information and expert system for monitoring and forecasting the eco�logical situation,
�preparation and launch of a training program for scientific and engineering personnel,
�creating an opportunity to expand the functionality of the IP for new objects of monitoring and forecasting.
Oneclassofrelativisticinvariantsystemsofequationsoffirstorder
N. G. Marchuk
Steklov Mathematical Institute RAS, Moscow Email: nmarchuk@mi.ras.ru
DOI 10.24412/cl.35065.2021.1.00.38
We consider a new class of partial differential equations of first order (we call them "covariantly equipped systems of equations"), which are invariant with respect to pseudo.orthogonal changes of Cartesian coordi�nates of pseudo.Euclidian space. We describe a procedure to reduce a Cauchy problem for a system of equa�tion to a Cauchy problem for covariantly equipped system of equations. We prove that such procedure can be apply to the Cauchy problem for Maxwell equations. Covariantly equipped systems of equations give us new point of view on field theory equations.
