Geodesic
The Cauchy problem for long wave equations in the axisymmetric case
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2012), pp. 113-119

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The Cauchy problem for a system of integro-differential equations modeling the free-boundary vortex fluid flow is considered. For the initial data satisfying the hyperbolicity conditions, the solvability of the Cauchy problem in the small with respect to time is proved.
Keywords: vortex flow, hyperbolicity, integro-differential equations. 
@article{VTGU_2012_2_a12,
     author = {M. M. Strekhova},
     title = {The {Cauchy} problem for long wave equations in the axisymmetric case},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {113--119},
     publisher = {mathdoc},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2012_2_a12/}
}
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M. M. Strekhova. The Cauchy problem for long wave equations in the axisymmetric case. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2012), pp. 113-119. http://geodesic.mathdoc.fr/item/VTGU_2012_2_a12/