Failure of amplitude equations (A08)

• Subject Area: Mathematics
• Term: from 2015 to 2019
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 258734477

In this project we would like to concentrate on situations where formally derived amplitude equations do not make correct predictions about the dynamics of the original system. We plan to establish rigorous estimates showing that the (resonant) four wave interaction system fails to describe the dynamics of the water wave problem with small surface tension. In cooperation with the numerics groups we would like to gain evidence for the failure of a number of amplitude equations outside the analytically established range of validity.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1173: Wave phenomena: analysis and numerics
• Applicant Institution: Karlsruher Institut für Technologie
• Co-Applicant Institution: Universität Stuttgart
• Project Head: Professor Dr. Guido Schneider