Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Maxim Shishlenin"'
Publikováno v:
Mathematics, Vol 12, Iss 2, p 212 (2024)
The article aimed to show the fundamental possibility of constructing a computational digital twin of the acoustic tomograph within the framework of a unified physics–mathematical model based on the Navier–Stokes equations. The authors suggested
Externí odkaz:
https://doaj.org/article/ae3a1ad24bd34ee8890c3f9df498a28e
Dynamical modelling of street protests using the Yellow Vest Movement and Khabarovsk as case studies
Publikováno v:
Scientific Reports, Vol 12, Iss 1, Pp 1-19 (2022)
Abstract Social protests, in particular in the form of street protests, are a frequent phenomenon of modern world often making a significant disruptive effect on the society. Understanding the factors that can affect their duration and intensity is t
Externí odkaz:
https://doaj.org/article/95c4212d2fcc4195951c116af26a0066
Publikováno v:
Mathematics, Vol 11, Iss 21, p 4458 (2023)
In this paper, we consider the Gelfand–Levitan–Marchenko–Krein approach. It is used for solving a variety of inverse problems, like inverse scattering or inverse problems for wave-type equations in both spectral and dynamic formulations. The ap
Externí odkaz:
https://doaj.org/article/3db1ebe0f05c4005ace1d52446382630
Publikováno v:
Mathematics, Vol 11, Iss 14, p 3180 (2023)
This paper considers a model for the accumulation of mutations in a population of mice with a weakened function of polymerases responsible for correcting DNA copying errors during cell division. The model uses the results of the experiment published
Externí odkaz:
https://doaj.org/article/4c919bc090cf48f48cb452b3dd9710bc
Autor:
Nikita Novikov, Maxim Shishlenin
Publikováno v:
Mathematics, Vol 11, Iss 13, p 3029 (2023)
We consider the coefficient inverse problem for the 2D acoustic equation. The problem is recovering the speed of sound in the medium (which depends only on the depth) and the density (function of both variables). We describe the method, based on the
Externí odkaz:
https://doaj.org/article/e0b1750baf904a4fbde69ad853c64c7d
Publikováno v:
Mathematics, Vol 10, Iss 7, p 1116 (2022)
A problem of modeling radiation patterns of wave sources in two-dimensional acoustic tomography is considered. Each source has its own radiation patterns, and their modeling will be used to improve the solvability of inverse problems of recovering th
Externí odkaz:
https://doaj.org/article/00d800f8ed86498c8c89f39d84d5536a
Publikováno v:
Mathematics, Vol 9, Iss 22, p 2894 (2021)
The work continues a series of articles devoted to the peculiarities of solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection-type with data on the position of the reaction front. In thi
Externí odkaz:
https://doaj.org/article/d5df7a9d82ea4ce185fc38cecedb04b5
Autor:
Dmitry Lukyanenko, Tatyana Yeleskina, Igor Prigorniy, Temur Isaev, Andrey Borzunov, Maxim Shishlenin
Publikováno v:
Mathematics, Vol 9, Iss 4, p 342 (2021)
In this paper, approaches to the numerical recovering of the initial condition in the inverse problem for a nonlinear singularly perturbed reaction–diffusion–advection equation are considered. The feature of the formulation of the inverse problem
Externí odkaz:
https://doaj.org/article/7dcace8410d44985ac722f972dfefbe8
Publikováno v:
Mathematics, Vol 9, Iss 2, p 199 (2021)
We consider the coefficient inverse problem for the first-order hyperbolic system, which describes the propagation of the 2D acoustic waves in a heterogeneous medium. We recover both the denstity of the medium and the speed of sound by using a finite
Externí odkaz:
https://doaj.org/article/4c6f66ed6437415e88d0a781831ba558
Publikováno v:
Computation, Vol 8, Iss 3, p 73 (2020)
We investigate the mathematical model of the 2D acoustic waves propagation in a heterogeneous domain. The hyperbolic first order system of partial differential equations is considered and solved by the Godunov method of the first order of approximati
Externí odkaz:
https://doaj.org/article/d08eee5f2b8d439c9254504efeaa8dab