@article{MeraShlapunovTarkhanov2019, author = {Mera, Azal and Shlapunov, Alexander A. and Tarkhanov, Nikolai Nikolaevich}, title = {Navier-Stokes Equations for Elliptic Complexes}, series = {Journal of Siberian Federal University. Mathematics \& Physics}, volume = {12}, journal = {Journal of Siberian Federal University. Mathematics \& Physics}, number = {1}, publisher = {Sibirskij Federalʹnyj Universitet}, address = {Krasnojarsk}, issn = {1997-1397}, doi = {10.17516/1997-1397-2019-12-1-3-27}, pages = {3 -- 27}, year = {2019}, 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.}, language = {en} }