Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation lawsReport as inadecuate




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1 JAD - Laboratoire Jean Alexandre Dieudonné 2 JAD - Laboratoire Jean Alexandre Dieudonné

Abstract : Nonlinear geometric optics with various frequencies for entropy solutions only in L ∞ of multidimensional scalar conservation laws is analyzed. A new approach to validate nonlinear geometric optics is developed via entropy dissipation through scaling, compactness, homogenization, and L 1 –stability. New multidimensional features are recognized, especially including nonlinear propagations of oscillations with high frequencies. The validity of nonlinear geometric optics for entropy solutions in L ∞ of multidimensional scalar conservation laws is justified.





Author: Gui-Qiang Chen Stéphane Junca - Michel Rascle -

Source: https://hal.archives-ouvertes.fr/



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