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On a motion of a perfect fluid in a domain with sources and sinksстатья
- Авторы: Chemetov N.V., Starovoitov V.N.
- Журнал: Journal of Mathematical Fluid Mechanics (JMFM)
- Том: 4
- Год издания: 2002
- Первая страница: 1
- Последняя страница: 17
- DOI: 10.1007/s00021-002-8539-6
- Аннотация: We prove the global weak solvability of the problem on a flow of an ideal incompressible fluid in a domain containing various types of sources and sinks. In the first part of the paper the case of point sources and sinks is considered. This situation is characterized by singularities of the velocity vector field, whose second powers are not integrable. We suggest a new generalized formulation of the problem, where the singularities are described by corresponding measures. As a development of this technique, we solve in the second part of the paper the problem on a flow of an ideal fluid through a given domain.
- Добавил в систему: Шеметов Николай Васильевич