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Incompressible Navier-Stokes-Fourier Limit from The Boltzmann Equation: Classical Solutions
The global classical solution to the incompressible Navier-Stokes-Fourier
equation with small initial data in the whole space is constructed through a
zero Knudsen number limit from the solutions to the Boltzmann equation with
general collision kernels. The key point is the uniform estimate of the Sobolev
norm on the global solutions to the Boltzmann equation.Comment: 21 page
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