Correctness investigation for the suspension transport problem in coastal systems
This article is devoted to the confirmation the need for using a set of 3D dynamics models describing the various hydrophysical characteristics of the studied object to solve practical problems associated with the assessment of the ecological state of the water reservoirs. The present paper is devot...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2018-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | https://doi.org/10.1051/matecconf/201822604027 |
| _version_ | 1818855068787539968 |
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| author | Sukhinov Alexander I. Sidoryakina Valentina V. Protsenko Sofya V. |
| author_facet | Sukhinov Alexander I. Sidoryakina Valentina V. Protsenko Sofya V. |
| author_sort | Sukhinov Alexander I. |
| collection | DOAJ |
| description | This article is devoted to the confirmation the need for using a set of 3D dynamics models describing the various hydrophysical characteristics of the studied object to solve practical problems associated with the assessment of the ecological state of the water reservoirs. The present paper is devoted to the study of the three-dimensional model of transport and sedimentation of suspended matter in the coastal zone. The model takes into account such parameters as water movement, diffusionconvection, complicated bottom and shoreline geometry, lifting, transport and sedimentation of slurry. The existence and uniqueness of the solution of the corresponding indicated model of the initial-boundary value problem haas been envestigateded for two typical bottom boundary condirions. Also solution stability of the boundary-value problem in depend of functions: initial condition, boundary conditions and the righthand side in the norm L2 for any moment of time 0 < T < +∞, and also in the time-integral norm L2 has been proved. The model may be basis for the construction of hydrophysics models used to describe processes in the extraction of minerals from the seabed, in the dissemination of suspensions in shelf regions. |
| first_indexed | 2024-12-19T08:02:44Z |
| format | Article |
| id | doaj.art-aab734161182419ab1e6ec6037e894af |
| institution | Directory Open Access Journal |
| issn | 2261-236X |
| language | English |
| last_indexed | 2024-12-19T08:02:44Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | MATEC Web of Conferences |
| spelling | doaj.art-aab734161182419ab1e6ec6037e894af2022-12-21T20:29:48ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-012260402710.1051/matecconf/201822604027matecconf_dts2018_04027Correctness investigation for the suspension transport problem in coastal systemsSukhinov Alexander I.0Sidoryakina Valentina V.1Protsenko Sofya V.2Don State Technical UniversityChekhov Taganrog Institute Taganrog branch of Rostov State University of EconomicsDon State Technical UniversityThis article is devoted to the confirmation the need for using a set of 3D dynamics models describing the various hydrophysical characteristics of the studied object to solve practical problems associated with the assessment of the ecological state of the water reservoirs. The present paper is devoted to the study of the three-dimensional model of transport and sedimentation of suspended matter in the coastal zone. The model takes into account such parameters as water movement, diffusionconvection, complicated bottom and shoreline geometry, lifting, transport and sedimentation of slurry. The existence and uniqueness of the solution of the corresponding indicated model of the initial-boundary value problem haas been envestigateded for two typical bottom boundary condirions. Also solution stability of the boundary-value problem in depend of functions: initial condition, boundary conditions and the righthand side in the norm L2 for any moment of time 0 < T < +∞, and also in the time-integral norm L2 has been proved. The model may be basis for the construction of hydrophysics models used to describe processes in the extraction of minerals from the seabed, in the dissemination of suspensions in shelf regions.https://doi.org/10.1051/matecconf/201822604027 |
| spellingShingle | Sukhinov Alexander I. Sidoryakina Valentina V. Protsenko Sofya V. Correctness investigation for the suspension transport problem in coastal systems MATEC Web of Conferences |
| title | Correctness investigation for the suspension transport problem in coastal systems |
| title_full | Correctness investigation for the suspension transport problem in coastal systems |
| title_fullStr | Correctness investigation for the suspension transport problem in coastal systems |
| title_full_unstemmed | Correctness investigation for the suspension transport problem in coastal systems |
| title_short | Correctness investigation for the suspension transport problem in coastal systems |
| title_sort | correctness investigation for the suspension transport problem in coastal systems |
| url | https://doi.org/10.1051/matecconf/201822604027 |
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