In this paper we study the nonlinear geometric optics of the shock wave for a scalar conservation law in one space variable. The existence of the oscillatory shock wave and its leading terms are obtained. Meanwhile, we rigorously justify the asymptotic properties of the shock wave as well as the shock front.
Cite this article
Ya-Guang Wang, Nonlinear Geometric Optics for Shock Waves Part I: Scalar Case. Z. Anal. Anwend. 16 (1997), no. 3, pp. 607–619DOI 10.4171/ZAA/780