WIAS Preprint No. 1030, (2005)
On the approximation of periodic traveling waves for the nonlinear atomic chain
- Dreyer, Wolfgang
- Herrmann, Michael
2010 Mathematics Subject Classification
- 34K07 34K28 37J45
- atomic chain, periodic traveling waves
We study a scheme from citeFV99, which allows to approximate periodic traveling waves in the nonlinear atomic chain with nearest neighbour interactions. We prove a compactness result for this scheme, and derive some generalizations. Moreover, we discuss the thermodynamic properties of traveling waves.