On the sedimentation modeling by a hyperbolic equation and its degeneration

1Kryvonos, Yu.G
2Selezov, IT
1V.M. Glushkov Institute of Cybernetics of the NAS of Ukraine, Kyiv
2Institute of Hydromechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2014, 9:40-43
Section: Information Science and Cybernetics
Language: Russian

A generalized model of sedimentation, which considers the evolution of sediments on the bottom surface with a finite velocity is presented. We investigate a singular degeneration of the generalized hyperbolic equation to the traditional equation in the class of generalized solutions.

Keywords: degeneration, hyperbolic equation, modeling

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