This article is cited in 26 papers

New Approach to the Solvability of Generalized Navier–Stokes Equations

V. V. Zhikov

Vladimir State Humanitarian University

Abstract: 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.

UDC: 517.956.4

Received: 13.10.2008

DOI: 10.4213/faa2961

 English version: Functional Analysis and Its Applications, 2009, 43:3, 190–207

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