Nonlinear stability in seismic waves

Authors

DOI:

https://doi.org/10.21914/anziamj.v57i0.10441

Abstract

We analyse a passive system featuring a neutrally stable short-wavelength mode. The system is modelled by the Nikolaevskiy equation relevant to elastic waves, reaction-diffusion systems and convection. After quickly falling onto a centre manifold, the system then exhibits slow decay. Using the centre manifold technique, we deduce that the decay law is the inverse square root of time. The result is confirmed by direct computations of the system. References

Published

2018-01-12

Issue

Section

Proceedings Engineering Mathematics and Applications Conference