47 citations · 89 across the 8 of their papers we have counts for
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math.AP2010★ 47 cited
The geometry of a vorticity model equation
Joachim Escher, Boris Kolev, Marcus Wunsch
We provide rigorous evidence of the fact that the modified Constantin-Lax-Majda equation modeling vortex and quasi-geostrophic dynamics describes the geodesic flow on the subgroup…
math.AP2010★ 39 cited
Global existence for the generalized two-component Hunter-Saxton system
Hao Wu, Marcus Wunsch
We study the global existence of solutions to a two-component generalized Hunter-Saxton system in the periodic setting. We first prove a persistence result of the solutions. Then f…
math.AP2010
Restrictions on the geometry of the periodic vorticity equation
Joachim Escher, Marcus Wunsch
We prove that several evolution equations arising as mathematical models for fluid motion cannot be realized as metric Euler equations on the Lie group of all smooth and orientatio…