On a Powder Consolidation Problem

@article{Kelley2001OnAP,
  title={On a Powder Consolidation Problem},
  author={C. T. Kelley and Kristy A. Coffey and Pierre A. Gremaud and T. A. Royal},
  journal={SIAM J. Appl. Math.},
  year={2001},
  volume={62},
  pages={1-20}
}
The problem of the consolidation of an aerated fine powder under gravity is considered. The industrial relevance of the problem is discussed and a mathematical model is introduced. The mathematical structure is that of a coupled system for three unknowns, pressure, stress, and height of the powder in the (axisymmetric) bunker containing it. The system itself consists of a parabolic PDE, an ODE, and an integral equation determining a free boundary corresponding to the height of the powder… 
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