SCIENTIA SINICA Mathematica, Volume 47 , Issue 10 : 1143-1154(2017) https://doi.org/10.1360/N012016-00150

Global existence for the ellipsoidal BGK model with initial large oscillations

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  • ReceivedAug 22, 2016
  • AcceptedNov 24, 2016
  • PublishedJan 23, 2017


The ellipsoidal BGK model was introduced to fit the correct Prandtl number in the Navier-Stokes approximation of the classical BGK model. In this paper, we establish the global existence of mild solutions to the Cauchy problem on the model for a class of initial data allowed to have large oscillations. The proof is motivated by a recent study of the same topic on the Boltzmann equation.

Funded by

Hong Kong General Research Fund(409913)

Hong Kong General Research Fund(103412)



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