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On the inviscid limit of the system "viscous incompressible fluid + rigid body" with the Navier conditions
inviscid limit of the system viscous incompressible fluid Navier conditions Analysis of PDEs
2012/6/6
In this paper we consider the inviscid limit for the system "viscous incompressible fluid + rigid body" in $\R^{3}$ when some Navier slip conditions are prescribed on the body's boundary. We prove the...
Remarks on the Minimizing Geodesic Problem in Inviscid Incompressible Fluid Mechanics
the Minimizing Geodesic Problem Fluid Mechanics
2010/11/11
We consider $L^2$ minimizing geodesics along the group of volume preserving maps $SDiff(D)$ of a given 3-dimensional domain $D$. The corresponding curves describe the motion of an ideal incompressible...
Canonical description of incompressible fluid -- Dirac brackets approach
Fluid dynamics Poisson structure Dirac brackets Canonical description
2010/12/15
We present a novel canonical description of the incompressible fluid dynamics. This de-
scription uses the dynamical constraints, in our case reflecting incompressibility assumption, and leads to rep...