| Abstract: |
| In this talk, we will present the construction of a global weak solution to the $3$-dimensional incompressible Navier-Stokes equations through the study of the hydrodynamic limit of the discrete-velocity BGK Boltzmann equation, provided the smallness of the initial data. In particular, the derivation of the diffusion term from the microstructure will be explained. This talk is based on a joint work with Xin Hu (Wuhan University) and Tsuyoshi Yoneda (Hitotsubashi University). |
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