On phase-transition waves in FPU-type chains
Event details
| Date | 08.05.2015 |
| Hour | 15:15 |
| Speaker | Prof. Hartmut Schwetlick, University of Bath, UK |
| Location |
MA A3 31
|
| Category | Conferences - Seminars |
We consider travelling wave solutions for the Fermi-Pasta-Ulam lattice, the elasticity model of a 1-dimensional atomic chain.
As they play the role of phase-transition in the case of a non-convex, multi-well interaction potential such structures play an important role in material science to provide suitable kinetic relations for more complex elastic models. The non-convex case is little studied and most results are confined to piecewise quadratic potentials.
In the talk I will provide a brief introduction in these results and extend the study to a genuine nonlinear perturbation of the bi-quadratic double well potential.
We show that the full family of waves for the unperturbed problem persists under a sufficiently small pertutbation and discuss their implications to find the kinetic relation for the perturbed case.
This is joint work with M Herrmann, K Matthies and J Zimmer.
As they play the role of phase-transition in the case of a non-convex, multi-well interaction potential such structures play an important role in material science to provide suitable kinetic relations for more complex elastic models. The non-convex case is little studied and most results are confined to piecewise quadratic potentials.
In the talk I will provide a brief introduction in these results and extend the study to a genuine nonlinear perturbation of the bi-quadratic double well potential.
We show that the full family of waves for the unperturbed problem persists under a sufficiently small pertutbation and discuss their implications to find the kinetic relation for the perturbed case.
This is joint work with M Herrmann, K Matthies and J Zimmer.
Links
Practical information
- General public
- Free
Organizer
- Dr. Boris Buffoni
Contact
- Virginie Ledouble