Sandpiles and Superconductors: Dual Variational Formulations for Critical-State Problems

@inproceedings{Barrett2006SandpilesAS,
  title={Sandpiles and Superconductors: Dual Variational Formulations for Critical-State Problems},
  author={John W. Barrett and Leonid Prigozhin},
  booktitle={Systems, Control, Modeling and Optimization},
  year={2006}
}
Similar evolutionary variational inequalities appear as convenient formulations for continuous models for sandpile growth, magnetization of type-II superconductors, and evolution of some other dissipative systems characterized by the multiplicity of metastable states, long-range interactions, avalanches, and hysteresis. The origin of this similarity is that these are quasistationary models of equilibrium in which the multiplicity of metastable states is a consequence of a unilateral condition… CONTINUE READING