Remarks on oscillations and Stokes' equation

  • Luc Tartar
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 230)


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.


Navier Stoke Equation Weak Limit Nonlinear Partial Differential Equation Compactness Argument Linear Partial Differential Equation 
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  1. [1]
    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.Google Scholar
  2. [2]
    Oscillations in non linear partial differential equations compensated compactness and homogenization. Lecture Notes in Applied Mathematics, vol. 23. American Mathematical Society.Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Luc Tartar
    • 1
  1. 1.C.E.A. Limeil-Valenton and Ecole PolytechniqueFrance

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