Filtern
Volltext vorhanden
- ja (2)
Dokumenttyp
- Preprint (2) (entfernen)
Sprache
- Englisch (2) (entfernen)
Gehört zur Bibliographie
- ja (2)
Schlagworte
- Hodge theory (1)
- Navier-Stokes equations (1)
- Neumann problem (1)
- classical solution (1)
- elliptic complex (1)
- manifold with boundary (1)
Institut
We continue our study of invariant forms of the classical equations of mathematical physics,
such as the Maxwell equations or the Lamé system, on manifold with boundary. To this end we interpret them in terms of the de Rham complex at a certain step. On using the structure of the complex we get an insight to predict a degeneracy deeply encoded
in the equations. In the present paper we develop an invariant approach to the classical Navier-Stokes equations.
When trying to extend the Hodge theory for elliptic complexes on compact closed manifolds to the case of compact manifolds with boundary one is led to a boundary value problem for
the Laplacian of the complex which is usually referred to as Neumann problem. We study the Neumann problem for a larger class of sequences of differential operators on
a compact manifold with boundary. These are sequences of small curvature, i.e., bearing the property that the composition of any two neighbouring operators has order less than two.