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DISCRETE AND CONTINUUM RELAXATION DYNAMICS OF FACETED CRYSTAL SURFACE IN EVAPORATION MODELS
crystal surface evaporation facet Burton–Cabrera–Frank model subgradient formalism free-boundary problem shock
2015/10/16
We study linkages of two scales in the relaxation of an axisymmetric crystal with a facet in evaporation-condensation kinetics. The macroscale evolution is driven by the motion of concentric circular,...
From the Kinetic Theory of Gases to Continuum Mechanics
Hydrodynamic limits, Kinetic models Boltzmann equation Entropy production Euler equations Navier-Stokes equations
2010/12/10
Recent results on the fluid dynamic limits of the Boltzmann equation based on the DiPerna-Lions theory of renormalized solutions are reviewed in this paper, with an emphasis on regimes where the veloc...