Geodesic
Slightly perturbed interaction of plane counter-moving jets of inviscid incompressible fluid
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2018), pp. 42-47

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The problem of unsteady collision of counter-moving inviscid incompressible flat jets outflowing from channels is considered. The unsteady pattern of the flow is connected with a change of pressure at infinitely remote points of the channels. It is assumed that the velocity of the perturbed flow is small compared to the velocity of the steady flow. The Gurevich–Haskind method is used to solve the problem. A mixed boundary value problem for the complex potential of the perturbed flow is formulated and solved. For the case of rectilinear channels and harmonic laws of pressure variation at infinitely remote points, the equations for the deviation of free boundaries from their steady-state positions are numerically studied. 
@article{VMUMM_2018_2_a4,
     author = {S. L. Tolokonnikov},
     title = {Slightly perturbed interaction of plane counter-moving jets of inviscid incompressible fluid},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {42--47},
     publisher = {mathdoc},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2018_2_a4/}
}
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S. L. Tolokonnikov. Slightly perturbed interaction of plane counter-moving jets of inviscid incompressible fluid. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2018), pp. 42-47. http://geodesic.mathdoc.fr/item/VMUMM_2018_2_a4/