| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4613686 | Journal of Differential Equations | 2006 | 37 Pages |
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 L1-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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
