Quasi-static limit for a hyperbolic conservation law

@inproceedings{Marchesani2021QuasistaticLF,
  title={Quasi-static limit for a hyperbolic conservation law},
  author={S. Marchesani and S. Olla and Lu Xu},
  year={2021}
}
The term quasi-static evolution refers to dynamics driven by external boundary conditions or forces that change in a time scale much longer than the typical time scale of the convergence to stationary state of the dynamics. In the time scale of the changes of the exterior conditions the system is very close to the corresponding stationary state. This ideal evolutions are fundamental in Thermodynamics and in many other situations. We are interested in studying dynamics where the corresponding… Expand
Hydrodynamic limit for asymmetric simple exclusion with accelerated boundaries
  • Lu Xu
  • Mathematics, Physics
  • 2021
We consider the asymmetric simple exclusion process (ASEP) on the one-dimensional lattice {1, 2, . . . , N}. The particles can be created/annihilated at the boundaries with timedependent rate. TheseExpand

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