Geodesic
Navier--Stokes equations for elliptic complexes
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 1, pp. 3-27

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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.
Keywords: Navier–Stokes equations, classical solution. 
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Azal Mera; Alexander A. Shlapunov; Nikolai Tarkhanov. Navier--Stokes equations for elliptic complexes. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 1, pp. 3-27. http://geodesic.mathdoc.fr/item/JSFU_2019_12_1_a0/