A model of liquid level measurements


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Аннотация

A model of measuring the level of a viscous incompressible liquid in a tank as based on the liquid level in a measuring tube is investigated. The tank is in the field of gravity, and the tank liquid level varies according to some law. As a result, a Dirichlet boundary value problem for a nonlinear integrodifferential equation of parabolic type is obtained. A global existence and uniqueness theorem is proved for a weak solution of the problem. In the case of a tank level decreasing linearly with time, it is shown numerically that the liquid level in the measuring tube oscillates with a decaying amplitude with respect to the tank level.

Авторлар туралы

O. Filatov

Samara State University

Хат алмасуға жауапты Автор.
Email: filatov_oleg@samaradom.ru
Ресей, Samara, 443090

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