New Applications of Quantum Algebraically Integrable Systems in Fluid   Dynamics
  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. 
Anne Boutet de Monvel, Igor Loutsenko, Oksana Yermolayeva
nlin.SI math-ph math.AP math.MP physics.flu-dyn