Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Fundamental solutions for ideal fluids in uniform motion

Author: Lazăr Dragoş
Journal: Quart. Appl. Math. 36 (1979), 401-409
MSC: Primary 76B99; Secondary 35Q99
DOI: https://doi.org/10.1090/qam/520122
MathSciNet review: 520122
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Abstract: In this paper the perturbations produced by mass, momentum and energy sources in the uniform flow of an ideal fluid are determined. The case of instantaneous sources is considered. The matrix solutions thus determined are by definition the fundamental matrices of the systems of equations of fluid mechanics. As an application, the perturbations caused by sources acting permanently for $ t > 0$ as well as the perturbations produced by sources moving along the direction of the free flow or perpendicular to this direction are determined.

References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/520122
Article copyright: © Copyright 1979 American Mathematical Society

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