Article contents
Application of transport equations for constructing exact solutions for the problem of motion of a fluid with a free boundary
Published online by Cambridge University Press: 11 March 2020
Abstract
A problem of an unsteady plane flow of an ideal incompressible fluid with a free boundary is considered. It is shown that the solution can be found by using a complex transport equation. In this case, the problem is linearized by means of the hodograph transform (the velocity components are chosen as independent variables). Examples of exact solutions are obtained. Various scenarios of formation of singularities on the free boundary within a finite time are considered.
JFM classification
- Type
- JFM Papers
- Information
- Copyright
- © The Author(s), 2020. Published by Cambridge University Press
References
- 7
- Cited by