52 citations · 64 across the 4 of their papers we have counts for
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nlin.CD2003★ 11 cited
Momentum Maps and Measure-valued Solutions (Peakons, Filaments and Sheets) for the EPDiff Equation
Darryl D. Holm, Jerrold E. Marsden
We study the dynamics of measure-valued solutions of what we call the EPDiff equations, standing for the {\it Euler-Poincaré equations associated with the diffeomorphism group (of…
physics.flu-dyn2003★ 1 cited
Lagrangian Averaging for Compressible Fluids
H. S. Bhat, R. C. Fetecau, J. E. Marsden +2
This paper extends the derivation of the Lagrangian averaged Euler (LAE-) equations to the case of barotropic compressible flows. The aim of Lagrangian averaging is to regulariz…