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arXiv · 1211.2906

New Applications of Quantum Algebraically Integrable Systems in Fluid Dynamics

Anne Boutet de Monvel·Igor Loutsenko·Oksana Yermolayeva
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Abstract

The rational quantum algebraically integrable systems are non-trivial generalizations of Laplacian operators to the case of elliptic operators with variable coefficients. We study corresponding extensions of Laplacian growth connected with algebraically integrable systems, describing viscous free-boundary flows in non-homogenous media. We introduce a class of planar flows related with application of Adler-Moser polynomials and construct solutions for higher-dimensional cases, where the conformal mapping technique is unavailable.

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Anne Boutet de Monvel, Igor Loutsenko, Oksana Yermolayeva. 2012-11-13. New Applications of Quantum Algebraically Integrable Systems in Fluid Dynamics. https://doi.org/10.1007/s13324-013-0058-5

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