Some New Integral Identities for Solenoidal Fields and Applications

Vladimir I. Semenov
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Vladimir I. Semenov: Department of Applied Mathematics and Computer Sciences, Baltic Federal University, Alexander Nevskij st., 14, Kaliningrad 236041, Russia

Mathematics, 2014, vol. 2, issue 1, 1-8

Abstract: In spaces R n , n ? 2, it has been proved that a solenoidal vector field and its rotor satisfy the series of new integral identities which have covariant form. The interest in them is explained by hydrodynamics problems for an ideal fluid.

Keywords: rotor; solenoidal vector field; potential vector field; Euler equations; Navier-Stokes equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2014
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