Dispersive shock waves in viscously deformable media

@article{Lowman2013DispersiveSW,
  title={Dispersive shock waves in viscously deformable media},
  author={Nicholas K. Lowman and Mark A. Hoefer},
  journal={Journal of Fluid Mechanics},
  year={2013},
  volume={718},
  pages={524 - 557}
}
Abstract The viscously dominated, low-Reynolds-number dynamics of multi-phase, compacting media can lead to nonlinear, dissipationless/dispersive behaviour when viewed appropriately. In these systems, nonlinear self-steepening competes with wave dispersion, giving rise to dispersive shock waves (DSWs). Example systems considered here include magma migration through the mantle as well as the buoyant ascent of a low-density fluid through a viscously deformable conduit. These flows are modelled by… 

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