Abstract
Homogenization and compensated compactness, in the way I have developped them with François Murat are concerned with understanding oscillations in nonlinear partial differential equations and in more intuitive terms to understand what are the equations governing macroscopic quantities in presence of microscopic variations of physical quantities.
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Etudes des oscillations dans les équations aux dérivées partielles non linéaires. Trends and Applications of Pure Mathematics to Mechanics, Ciarlet-Roseau ed. Lecture Notes in Physics, Springer, 195 (1984) p. 384–412.
Oscillations in non linear partial differential equations compensated compactness and homogenization. Lecture Notes in Applied Mathematics, vol. 23. American Mathematical Society.
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© 1985 Springer-Verlag
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Tartar, L. (1985). Remarks on oscillations and Stokes' equation. In: Frisch, U., Keller, J.B., Papanicolaou, G.C., Pironneau, O. (eds) Macroscopic Modelling of Turbulent Flows. Lecture Notes in Physics, vol 230. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-15644-5_3
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DOI: https://doi.org/10.1007/3-540-15644-5_3
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