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A STOCHASTIC-LAGRANGIAN APPROACH TO THE NAVIER-STOKES EQUATIONS IN DOMAINS WITH BOUNDARY.
The (unforced) incompressible Navier-Stokes equations STOCHASTIC-LAGRANGIAN
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2014/4/3
In this paper we derive a probabilistic representation of the deterministic 3-dimensional Navier-Stokes equations in the presence of spatial boundaries. The formulation in the absence of spatial bound...
Lagrangian multiform structure for the lattice Gel'fand-Dikii hierarchy
lattice Gel'fand-Dikii hierarchy partial difference equations
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2010/4/7
The lattice Gel'fand-Dikii hierarchy was introduced by Nijhoff, Papageorgiou, Capel and Quispel in 1992 as the family of partial difference equations generalizing to higher rank the lattice Korteweg-d...