Weak limits of semilinear hyperbolic systems with oscillating data

  • D. McLaughlin
  • G. Papanicolaou
  • L. Tartar
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 230)


We consider several examples of nonlinear evolution equations with initial data that are rapidly oscillating functions of the space variable. We obtain an effective system of nonlinear evolution equations for the various moments of the solution by a multiple scale method. We also show how in one case (the Carleman model) compensated compactness gives a very general way of obtaining the effective equations without the use of multiple s.cales.


Initial Data Multiple Scale Space Variable Nonlinear Evolution Equation Moment Equation 
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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • D. McLaughlin
    • 1
  • G. Papanicolaou
    • 2
  • L. Tartar
    • 3
  1. 1.University of ArizonaUSA
  2. 2.Courant InstituteNew York UniversityUSA
  3. 3.C.E.N.LimeilFrance

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