Publications [#245551] of Robert P. Behringer

Papers Published
  1. Bowen, M; Sur, J; Bertozzi, AL; Behringer, RP, Nonlinear dynamics of two-dimensional undercompressive shocks, Physica D: Nonlinear Phenomena, vol. 209 no. 1-4 (September, 2005), pp. 36-48 [doi] .

    We consider the problem of a thin film driven by a thermal gradient with an opposing gravitational force. Under appropriate conditions, an advancing film front develops a leading undercompressive shock followed by a trailing compressive shock. Here, we investigate the nonlinear dynamics of these shock structures that describe a surprisingly stable advancing front. We compare two-dimensional simulations with linear stability theory, shock theory, and experimental results. The theory/experiment considers the propagation of information through the undercompressive shock towards the trailing compressive shock. We show that a local perturbation interacting with the undercompressive shock leads to nonlocal effects at the compressive shock. © 2005 Elsevier B.V. All rights reserved.