Parabolic variant of H-measures in homogenisation of a model problem based on Navier-Stokes equation

DOI10.1016/j.nonrwa.2008.07.010zbMath1254.35016OpenAlexW2085184810WikidataQ58624221 ScholiaQ58624221MaRDI QIDQ602884

Nenad Antonić, Martin Lazar

Publication date: 5 November 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.07.010

zbMATH Keywords

turbulencecompactness lemmaoscillating test function technique

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items

\(H\)-distributions via Sobolev spaces, Propagation principle for parabolic H-measures, H-measures and variants applied to parabolic equations, Parabolic H-measures, \(H\)-distributions: an extension of \(H\)-measures to an \(L^p-L^q\) setting, Localisation principle for one-scale H-measures, Sulfate attack in sewer pipes: derivation of a concrete corrosion model via two-scale convergence, Second commutation lemma for fractional H-measures, \(H\)-distributions with unbounded multipliers, Two scale defect measure and linear equations with oscillating coefficients, On generalisation of H-measures

Cites Work

• A parabolic variant of H-measures
• A counter-example concerning the pressure in the Navier-Stokes equations, as \(t\to 0^ +\)
• H-measures and variants applied to parabolic equations
• An introduction to Navier-Stokes equation and oceanography.
• Finite Element Methods for Navier-Stokes Equations
• H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
• Microlocal defect measures
• H-measures applied to symmetric systems
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