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- W56455920 abstract "Summary. The problems of unsteady incompressible fluid motions with free boundary leading to Cauchy problems for non-linear non local differential equations are considered. The special case of them is well known Cauchy-Poisson problem about waves on the water surface. The paper contains existence theorems of this class of problems in spaces of analytical functions. The results are founded on some new a priori estimates for elliptic type equations in the analytical case. It is convenient to solve free boundary problem in some cases in Lagrangian coor dinates. As an example serves the problem about upflow of the bubble in the water of infinite depth." @default.
- W56455920 created "2016-06-24" @default.
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- W56455920 date "1970-01-01" @default.
- W56455920 modified "2023-09-27" @default.
- W56455920 title "NON LOCAL CAUCHY PROBLEMS IN FLUID DYNAMICS" @default.
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