Estimation of the Solution of a Spatial Parabolic Equation Describing Anisotropic Geological Systems

Partial differential equations have a wide practical application. For the mathematical description of various physical processes and phenomena, initial-boundary problems are constructed. The construction and analysis of their solutions is an urgent task of modern scientific research. The article con...

Полное описание

Сохранить в:

Библиографические подробности
Главные авторы:	Tarasenko, E. O., Тарасенко, Е. О., Gladkov, A. V., Гладков, А. В., Gladkova, N. A., Гладкова, Н. А.
Формат:	Статья
Язык:	English
Опубликовано:	Springer Science and Business Media Deutschland GmbH 2024
Темы:	Anisotropic model Solution estimation Geological system Initial-boundary problem Parabolic equation Solvability
Online-ссылка:	https://dspace.ncfu.ru/handle/123456789/29204
Метки:	Добавить метку Нет меток, Требуется 1-ая метка записи!

id	ir-123456789-29204
record_format	dspace
spelling	ir-123456789-292042024-11-05T11:02:01Z Estimation of the Solution of a Spatial Parabolic Equation Describing Anisotropic Geological Systems Tarasenko, E. O. Тарасенко, Е. О. Gladkov, A. V. Гладков, А. В. Gladkova, N. A. Гладкова, Н. А. Anisotropic model Solution estimation Geological system Initial-boundary problem Parabolic equation Solvability Partial differential equations have a wide practical application. For the mathematical description of various physical processes and phenomena, initial-boundary problems are constructed. The construction and analysis of their solutions is an urgent task of modern scientific research. The article considers the engineering production problem of compaction of subsiding soils by deep explosions. The compaction process can be implemented in two ways: by concentrated and elongated explosive charges, which determines the type of function of the gas source resulting from the explosion. An anisotropic geological system is described by a spatial parabolic equation with given initial and boundary conditions. The solution of the initial-boundary problem is the density of the soil as a result of its compaction by deep explosions and is determined at each point of the three-dimensional Euclidean space over time. The conditions for the existence of a solution to the stated initial-boundary problems are the continuity and differentiability of the functions included in the parabolic equation. An estimate for the solution of the initial-boundary problem within the framework of the anisotropic geological system under study is constructed and proved. 2024-11-05T10:59:30Z 2024-11-05T10:59:30Z 2024 Статья Tarasenko E.O., Gladkov A.V., Gladkova N.A. Estimation of the Solution of a Spatial Parabolic Equation Describing Anisotropic Geological Systems // Lecture Notes in Networks and Systems. - 2024. - 1044 LNNS. - pp. 180 - 186. - DOI: 10.1007/978-3-031-64010-0_17 https://dspace.ncfu.ru/handle/123456789/29204 en Lecture Notes in Networks and Systems application/pdf Springer Science and Business Media Deutschland GmbH
institution	СКФУ
collection	Репозиторий
language	English
topic	Anisotropic model Solution estimation Geological system Initial-boundary problem Parabolic equation Solvability
spellingShingle	Anisotropic model Solution estimation Geological system Initial-boundary problem Parabolic equation Solvability Tarasenko, E. O. Тарасенко, Е. О. Gladkov, A. V. Гладков, А. В. Gladkova, N. A. Гладкова, Н. А. Estimation of the Solution of a Spatial Parabolic Equation Describing Anisotropic Geological Systems
description	Partial differential equations have a wide practical application. For the mathematical description of various physical processes and phenomena, initial-boundary problems are constructed. The construction and analysis of their solutions is an urgent task of modern scientific research. The article considers the engineering production problem of compaction of subsiding soils by deep explosions. The compaction process can be implemented in two ways: by concentrated and elongated explosive charges, which determines the type of function of the gas source resulting from the explosion. An anisotropic geological system is described by a spatial parabolic equation with given initial and boundary conditions. The solution of the initial-boundary problem is the density of the soil as a result of its compaction by deep explosions and is determined at each point of the three-dimensional Euclidean space over time. The conditions for the existence of a solution to the stated initial-boundary problems are the continuity and differentiability of the functions included in the parabolic equation. An estimate for the solution of the initial-boundary problem within the framework of the anisotropic geological system under study is constructed and proved.
format	Статья
author	Tarasenko, E. O. Тарасенко, Е. О. Gladkov, A. V. Гладков, А. В. Gladkova, N. A. Гладкова, Н. А.
author_facet	Tarasenko, E. O. Тарасенко, Е. О. Gladkov, A. V. Гладков, А. В. Gladkova, N. A. Гладкова, Н. А.
author_sort	Tarasenko, E. O.
title	Estimation of the Solution of a Spatial Parabolic Equation Describing Anisotropic Geological Systems
title_short	Estimation of the Solution of a Spatial Parabolic Equation Describing Anisotropic Geological Systems
title_full	Estimation of the Solution of a Spatial Parabolic Equation Describing Anisotropic Geological Systems
title_fullStr	Estimation of the Solution of a Spatial Parabolic Equation Describing Anisotropic Geological Systems
title_full_unstemmed	Estimation of the Solution of a Spatial Parabolic Equation Describing Anisotropic Geological Systems
title_sort	estimation of the solution of a spatial parabolic equation describing anisotropic geological systems
publisher	Springer Science and Business Media Deutschland GmbH
publishDate	2024
url	https://dspace.ncfu.ru/handle/123456789/29204
work_keys_str_mv	AT tarasenkoeo estimationofthesolutionofaspatialparabolicequationdescribinganisotropicgeologicalsystems AT tarasenkoeo estimationofthesolutionofaspatialparabolicequationdescribinganisotropicgeologicalsystems AT gladkovav estimationofthesolutionofaspatialparabolicequationdescribinganisotropicgeologicalsystems AT gladkovav estimationofthesolutionofaspatialparabolicequationdescribinganisotropicgeologicalsystems AT gladkovana estimationofthesolutionofaspatialparabolicequationdescribinganisotropicgeologicalsystems AT gladkovana estimationofthesolutionofaspatialparabolicequationdescribinganisotropicgeologicalsystems
_version_	1842245442418507776

Estimation of the Solution of a Spatial Parabolic Equation Describing Anisotropic Geological Systems

Схожие документы