Special solutions for an equation arising in sand ripple dynamics |
| |
Institution: | 1. Indian Council of Medical Research-National Institute of Virology, Pune 411021, India;2. District Hospital, Aundh Pimpri-Chinchwad, Pune 411027, India |
| |
Abstract: | We study a nonlinear fourth order evolution equation arising in the context of sand ripple dynamics. We analyse the set of stationary solutions and travelling waves in order to recover the observed phenomenology such as different wavelengths ripples, travelling waves, coarsening and time scales. Moreover, we construct an approximate solution which describes the early stages of the dynamics and which suggests the existence of coarsening and of time scales with different dynamical behaviour. |
| |
Keywords: | Pattern formation Travelling wave solutions Sand ripples |
本文献已被 ScienceDirect 等数据库收录! |
|