Navier–Stokes equations for elliptic complexes
Azal Meraab, Alexander A. Shlapunovc, Nikolai Tarkhanovb
a Department of Mathematics, University of Babylon, Babylon, Iraq
b Institute for Mathematics, University of Potsdam, Karl-Liebknecht-Str. 24/25, Potsdam, 14476, Germany
c Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
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.
Navier–Stokes equations, classical solution.
|Ministry of Education and Science of the Russian Federation
|The first author gratefully acknowledges the financial support of the Ministry of High Education of Iraq. The research of the second author was supported by the grant of the Russian Federation Government for scientific research under the supervision of leading scientist at the Siberian Federal University, contract no. 14.Y26.31.0006.
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Received in revised form: 06.09.2018
Azal Mera, Alexander A. Shlapunov, Nikolai Tarkhanov, “Navier–Stokes equations for elliptic complexes”, J. Sib. Fed. Univ. Math. Phys., 12:1 (2019), 3–27
Citation in format AMSBIB
\by Azal~Mera, Alexander~A.~Shlapunov, Nikolai~Tarkhanov
\paper Navier--Stokes equations for elliptic complexes
\jour J. Sib. Fed. Univ. Math. Phys.
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