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arxiv: 1201.1545 · v1 · pith:OUNZB3QNnew · submitted 2012-01-07 · 🌊 nlin.SI

One method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid

classification 🌊 nlin.SI
keywords equationsfluiddifferentialconstructingexacthydrodynamicsincompressiblelinear
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We propose a simple algebraic method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid. The problem reduces to consecutively solving three linear partial differential equations for a nonviscous fluid and to solving three linear partial differential equations and one first-order ordinary differential equation for a viscous fluid.

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