On the variational statement of one boundary-value problem with free interface

  • A. Timokha Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv
Keywords: Bateman-Luke variational principle, Clebsch potentials, droplet


UDC 532.595

With the help of Clebsch's potentials, we propose a Bateman–Luke-type variational principle  for a boundary-value problem with a free (unknown) interface between two ideal compressible barotropic fluids (liquid and gas)  admitting rotational flows.


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How to Cite
Timokha, A. “On the Variational Statement of One Boundary-Value Problem With Free Interface”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 75, no. 8, Aug. 2023, pp. 1113 -18, doi:10.3842/umzh.v75i8.7650.
Research articles