Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:222

Article

Chen, GQ ; Junca, S ; Rascle, M

关键词: nonlinear geometric optics;    entropy solutions in L-infinity;    multidimensional conservation laws;    validity;    profile;    perturbation;    new approach;    entropy dissipation;    compactness;    homogenization;    oscillation;    scaling;    stability;    multiscale;    BV;   

DOI  :  10.1016/j.jde.2005.04.014

来源: Elsevier

【 摘 要 】

Nonlinear geometric optics with various frequencies for entropy solutions only in L-infinity 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-infinity of multidimensional scalar conservation laws is justified. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free