This article is cited in 9 papers

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

A. V. Yurov^a, A. A. Yurova<sup>b

a</sup> Immanuel Kant State University of Russia
^b Kaliningrad State University

Abstract: 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.

Keywords: two-dimensional incompressible fluid, exact solutions.

Received: 12.07.2005
Revised: 21.10.2005

DOI: 10.4213/tmf2023

 English version: Theoretical and Mathematical Physics, 2006, 147:1, 501–508

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