TY  - INPR
A1  - Mera, Azal
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - The Neumann problem after Spencer
N2  - 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.
T3  - Preprints des Instituts für Mathematik der Universität Potsdam - 5 (2016) 6 
KW  - elliptic complex
KW  - manifold with boundary
KW  - Hodge theory
KW  - Neumann problem
Y1  - 2016
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-90631
SN  - 2193-6943
VL  - 5
IS  - 6
PB  - Universitätsverlag Potsdam
CY  - Potsdam
ER  - 
TY  - INPR
A1  - Mera, Azal
A1  - Shlapunov, Alexander
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - Navier-Stokes equations for elliptic complexes
N2  - 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.
T3  - Preprints des Instituts für Mathematik der Universität Potsdam - 4 (2015)12 
KW  - Navier-Stokes equations
KW  - classical solution
Y1  - 2015
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-85592
SN  - 2193-6943
VL  - 4
IS  - 12
PB  - Universitätsverlag Potsdam
CY  - Potsdam
ER  -