Displaying similar documents to “Global stability of dynamic systems of high order.”

On the global existence for the axisymmetric Euler equations

Hammadi Abidi, Taoufik Hmidi, Sahbi Keraani (2008)

Journées Équations aux dérivées partielles

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This paper deals with the global well-posedness of the 3 D axisymmetric Euler equations for initial data lying in critical Besov spaces B p , 1 1 + 3 p . In this case the BKM criterion is not known to be valid and to circumvent this difficulty we use a new decomposition of the vorticity .

On strongly Hausdorff flows

Hiromichi Nakayama (1996)

Fundamenta Mathematicae

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A flow of an open manifold is very complicated even if its orbit space is Hausdorff. In this paper, we define the strongly Hausdorff flows and consider their dynamical properties in terms of the orbit spaces. By making use of this characterization, we finally classify all the strongly Hausdorff C 1 -flows.