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

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

2012-01-07

arxiv.org/abs/1201.1545v1

Theoretical and Mathematical Physics Volume 147, Number 1, 501-508, (2006) DOI: 10.1007/s11232-006-0057-x

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages, 5 figs

Scientific paper

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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