11 citations · 11 across the 4 of their papers we have counts for
6 papers
Regularity for a geometrically nonlinear flat Cosserat micropolar membrane shell with curvature
Andreas Gastel, Patrizio Neff
We consider the rigorously derived thin shell membrane -limit of a three-dimensional isotropic geometrically nonlinear Cosserat micropolar model and deduce full interior regular…
Conservation laws for even order systems of polyharmonic map type
Frédéric Louis de Longueville, Andreas Gastel
Following Rivière's study of conservation laws for second order quasilinear systems with critical nonlinearty and Lamm/Rivière's generalization to fourth order, we consider similar…
Canonical gauges in higher gauge theory
Andreas Gastel
We study the problem of finding good gauges for connections in higher gauge theories. We find that, for -connections in strict -gauge theory and -connections in -gauge…
Regularity issues for Cosserat continua and -harmonic maps
Andreas Gastel
For minimizers in a geometrically nonlinear Cosserat model for micropolar elasticity of continua, we prove interior Hölder regularity, up to isolated singular points that may be po…
Minimizers of higher order gauge invariant functionals
Andreas Gastel, Christoph Scheven
We introduce higher order variants of the Yang-Mills functional that involve th order derivatives of the curvature. We prove coercivity and smoothness of critical points in…
Yang-Mills connections of cohomogeneity one on SO(n)-bundles over Euclidean spheres
Andreas Gastel
We construct Yang-Mills connections on SO(n)-bundles over spheres equipped with the Euclidean metric. We use a cohomogeneity one group action on the bundle to reduce the Yang-Mills…