The consecutive lifting-projection flow approximates the spatially homogeneous Boltzmann and Landau equations by lifting collisions to a higher-dimensional linear equation on spheres, preserving mass, momentum, energy, and entropy dissipation with explicit representations for Maxwell molecules.
A fast spectral method for the boltzmann collision operator with general collision kernels.SIAM Journal on Scientific Computing, 39(4):B658–B674, 2017
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The consecutive lifting-projection flow as an approximation of Boltzmann and Landau flow
The consecutive lifting-projection flow approximates the spatially homogeneous Boltzmann and Landau equations by lifting collisions to a higher-dimensional linear equation on spheres, preserving mass, momentum, energy, and entropy dissipation with explicit representations for Maxwell molecules.