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Creators/Authors contains: "Misiołek, Gerard"

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  1. ; ; ; (, Mathematische Annalen)
    Abstract We investigate the geometry of a family of equations in two dimensions which interpolate between the Euler equations of ideal hydrodynamics and the inviscid surface quasi-geostrophic equation. This family can be realised as geodesic equations on groups of diffeomorphisms. We show precisely when the corresponding Riemannian exponential map is non-linear Fredholm of index 0. We further illustrate this by examining the distribution of conjugate points in these settings via a Morse theoretic approach 
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  2. ; ; ; (, Annales mathématiques du Québec)
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