Construction of Exact Solutions of the Problem of the Motion of a Fluid with a Free Boundary Using Infinite Systems of Differential Equations
Theoretical and mathematical physics(2020)
摘要
We consider the well-known hydrodynamics problem for the planar potential motion of an ideal incompressible fluid with a free boundary without capillarity and propose a method for finding exact solutions based on reducing the boundary-value problems to systems of ordinary differential equations. We obtain two examples of flows: a stationary motion of a heavy fluid over a smooth bottom and a nonstationary motion of a fluid that originally filled a wedge.
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关键词
ideal incompressible fluid,exact solution,conformal map,doubly periodic function
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