Journal of Siberian Federal University. Mathematics & Physics / Navier-Stokes Equations for Elliptic Complexes

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (1)
Authors
Mera, Azal; Shlapunov, Alexander A.; Tarkhanov, Nikolai
Contact information
Mera, Azal: Department of Mathematics University of Babylon Babylon Iraq Institute for Mathematics University of Potsdam Karl-Liebknecht-Str. 24/25, Potsdam, 14476 Germany; ; Shlapunov, Alexander A.: Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny 79, Krasnoyarsk, 660041 Russia; ; Tarkhanov, Nikolai: Institute of Mathematics University of Potsdam Karl-Liebknecht-Str. 24/25, 14476, Pots;
Keywords
Navier-Stokes equations; classical solution
Abstract

We continue our study of invariant forms of the classical equations of mathematical physics, such as the Maxwell equations or the Lam´e 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

Pages
3–27
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/109332