Geodesic
On correlation of two solution classes for Navier--Stokes equations.~II
Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 4, pp. 52-62

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This is a supplement to the author's work [1] devoted to the solvability of initial boundary value problem for the Navier–Stokes equations with mass force depeding on unknown (speed) polynomially. In this paper local resolvability of the problem in the generalized sense is established and the proof of a key lemma in [1] is also given. 
@article{VMJ_2012_14_4_a7,
     author = {V. B. Levenshtam},
     title = {On correlation of two solution classes for {Navier--Stokes} {equations.~II}},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {52--62},
     publisher = {mathdoc},
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     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2012_14_4_a7/}
}
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V. B. Levenshtam. On correlation of two solution classes for Navier--Stokes equations.~II. Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 4, pp. 52-62. http://geodesic.mathdoc.fr/item/VMJ_2012_14_4_a7/