Geodesic
New Approach to the Solvability of Generalized Navier--Stokes Equations
Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 3, pp. 33-53

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We propose a new approach to prove the existence of weak solutions to generalized (or modified) Navier–Stokes equations. We also consider systems presently well known from the theory of non-Newtonian electrorheological fluids.
Keywords: Navier–Stokes equation, convective term, energy identity, compensated compactness lemma. 
@article{FAA_2009_43_3_a3,
     author = {V. V. Zhikov},
     title = {New {Approach} to the {Solvability} of {Generalized} {Navier--Stokes} {Equations}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {33--53},
     publisher = {mathdoc},
     volume = {43},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2009_43_3_a3/}
}
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V. V. Zhikov. New Approach to the Solvability of Generalized Navier--Stokes Equations. Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 3, pp. 33-53. http://geodesic.mathdoc.fr/item/FAA_2009_43_3_a3/