Integrable hydrodynamic submodels with a linear velocity field.
| Autor: | Urazbakhtina, L. |
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| Zdroj: | Journal of Applied & Industrial Mathematics; Jan2013, Vol. 7 Issue 1, p117-126, 10p |
| Abstrakt: | Invariant and partially invariant solutions to the equations of gas dynamics with a linear velocity field are defined by a matrix satisfying a homogeneous integrable Riccati equation. The classification is carried out of solutions by the acceleration vector in the Lagrangian coordinates. Some example is given of an invariant solution for which the selected volume 'collapses' to an interval. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
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