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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...
On trajectories of vortices in the compressible fluid on a two-dimensional manifold
the compressible fluid two-dimensional manifold
2010/11/17
For the model of a compressible barotropic fluid on a two dimensional rotating Riemmanian manifold we discuss a special class of smooth solutions having a form of a steady non-singular vortex moving ...