Premium
Free boundary problem for a two‐layer inviscid incompressible fluid
Author(s) -
Ton Bui An,
Payne L.
Publication year - 1983
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670050129
Subject(s) - inviscid flow , mathematics , compressibility , boundary layer , lagrangian and eulerian specification of the flow field , mathematical analysis , boundary (topology) , incompressible flow , lagrangian , classical mechanics , geometry , mechanics , physics , flow (mathematics) , eulerian path
The existence of a local (in time) classical solution of a free boundary problem for a two‐layer inviscid incompressible fluid is shown. The method of successive approximations and the novel approach to Lagrangian coordinates of Solonnikov are used.