MATEC Web Conf.
Volume 226, 2018XIV International Scientific-Technical Conference “Dynamic of Technical Systems” (DTS-2018)
|Number of page(s)||10|
|Section||4 Fundamental methods of system analysis, modeling and optimization of dynamic systems|
|Published online||07 November 2018|
Correctness investigation for the suspension transport problem in coastal systems
1 Don State Technical University, 344000 Rostov-on-Don, Russia
2 Chekhov Taganrog Institute Taganrog branch of Rostov State University of Economics, Taganrog, Russia
* Corresponding author: firstname.lastname@example.org
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.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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