Article ID Journal Published Year Pages File Type
4619400 Journal of Mathematical Analysis and Applications 2010 18 Pages PDF
Abstract

Using the method of new characteristic coordinates and the singularity theory of smooth mappings, in this paper we analyze the long-time behavior of smooth solutions for one-dimensional quasilinear hyperbolic systems, give a complete description of the solutions close to blow-up points, and provide some sharp estimates on the blow-up rate of singularities.

Related Topics
Physical Sciences and Engineering Mathematics Analysis