Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501618 | Journal of Differential Equations | 2005 | 49 Pages |
Abstract
We introduce a new definition of aδ-shock wave type solution for a class of systems of conservation laws in the one-dimensional case. The weak asymptotics method developed by the authors is used to construct formulas describing the propagation and interaction of δ-shock waves. The dynamics of merging two δ-shocks is described by explicit formulas continuously in time.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
V.G. Danilov, V.M. Shelkovich,