| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10735686 | Physica D: Nonlinear Phenomena | 2012 | 15 Pages |
Abstract
⺠A saddle-node bifurcation of shock waves in viscous conservation laws is studied. ⺠The saddle-node bifurcation is described through Melnikov integrals. ⺠The stability of the bifurcating solutions is studied by the Evans function method. ⺠The Evans function is analyzed by using geometric singular perturbation theory. ⺠New connections between derivatives of Evans and Melnikov functions are established.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Franz Achleitner, Peter Szmolyan,