16 research outputs found
A Liouville-type theorem for the 3D primitive equations
The 3D primitive equations are used in most geophysical fluid models to
approximate the large scale oceanic and atmospheric dynamics. We prove that
there do not exist smooth stationary solutions to the 3D primitive equations
with compact support, independently of the presence of the Coriolis rotation
term or the viscosity. This result is in strong contrast with the recently
established existence of compactly supported smooth solutions to the
incompressible 3D Euler equations.Comment: 10 pages; some remarks and references adde
A characterization of Dirac morphisms
Relating the Dirac operators on the total space and on the base manifold of a
horizontally conformal submersion, we characterize Dirac morphisms, i.e. maps
which pull back (local) harmonic spinor fields onto (local) harmonic spinor
fields.Comment: 18 pages; restricted to the even-dimensional cas
Skyrme-Faddeev Instantons on Complex Surfaces
We find stable solutions from various complex surfaces for the σ 2-energy functional. They can be interpreted as instantons for the strong coupling limit of the Skyrme-Faddeev sigma model