Nonstationary version of Zhikov's compensated compactness lemma and its application to the solvability of the generalized Navier-Stokes equations

DOI10.1134/S1064562410010199zbMath1202.35161OpenAlexW2083311191WikidataQ124965852 ScholiaQ124965852MaRDI QIDQ606503

S. E. Pastukhova

Publication date: 17 November 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562410010199

zbMATH Keywords

Navier-Stokes equationscompensated compactnessTartar-Murat lemma

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Theoretical approximation in context of PDEs (35A35) Applications of operator theory to differential and integral equations (47N20) Weak solutions to PDEs (35D30)

Related Items (5)

On the compensated compactness principle ⋮ Time regularity of generalized Navier-Stokes equation with $p(x,t)$-power law ⋮ Local higher integrability for unsteady motion equations of generalized Newtonian fluids ⋮ Compensated compactness principle and solvability of generalized Navier-Stokes equations ⋮ Hölder continuity of solutions for unsteady generalized Navier-Stokes equations with \(p(x,t)\)-power law in 2D

Cites Work

• On passage to the limit in nonlinear elliptic equations
• Young Measure‐Valued Solutions for Non-Newtonian Incompressible Fluids¹
• ON THE NON-NEWTONIAN INCOMPRESSIBLE FLUIDS
• Unnamed Item

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