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The Euler Equations of Spatial Gasdynamics and the Integrable Heisenberg Spin Equation |
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| Authors: | W K Schief C Rogers |
| Institution: | The University of New South Wales The Hong Kong Polytechnic University Australian Research Council Centre of Excellence for Mathematics and Statistics of Complex Systems |
| Abstract: | The Euler equations for an inviscid and thermally nonconducting gas are investigated with a view to isolating particular integrable structure. A natural physical constraint is imposed and it is demonstrated that, in the generic case, the steady Euler equations are equivalent to an integrable Heisenberg spin equation subject to a volume‐preserving constraint. A limiting case in which this constraint is not present is indicated. |
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