Navier--Stokes equations for elliptic complexes

Azal Mera ; Alexander A. Shlapunov ; Nikolai Tarkhanov

Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 1, pp. 3-27.

Résumé

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.

Détail

Keywords: Navier–Stokes equations, classical solution.

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