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A non-linear space problem of instable waves on a surface of ideal imcompressible liquid is considered in the paper aiming at the proof of the non-linear space Cauchy - Poisson problem solvability in classes of functions of the finite smoothness. As a result the solvability of a linear problem of small disturbances of the motion of ideal liquid with a free bound in classes of smooth functions has been proved as well as the solvability of a space Cauchy - Poisson problem in classes of functions of the finite smoothness. The suggested methods of the solution search for a non-linear Cauchy - Poisson problem may be the base for the algorithm development of the wave theory problem solutionAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio

Topics:
12A - Pure mathematics, 20I - Fluid mechanics, MATHEMATICS,MECHANICS

Year: 1992

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