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- W2978408432 abstract "We derive the 3D spatially homogeneous Boltzmann's equation with moderately soft potentials and singular angular interaction, from an interacting particles system. The collision kernel is of the form $B(z,sigma)=|z|^{gamma}bleft( frac{z}{|z|}cdot sigmaright)$ and for $K>0$, $sin(theta)bleft(cos(theta)right)sim Ktheta^{-1-nu}$, with $gammain (-2,-1)$ and $nuin(1,2)$ satisfying $gamma+nu>0$. We use at the particle level the regularizing effects of the grazing collisions, in order to control the singularity of the soft potential. This enables to use a classical compactness argument, and provide a qualitative convergence result from the interacting particles system toward the solution of the limit macroscopic equation." @default.
- W2978408432 created "2019-10-10" @default.
- W2978408432 creator A5090699972 @default.
- W2978408432 date "2019-10-04" @default.
- W2978408432 modified "2023-09-27" @default.
- W2978408432 title "Propagation of chaos for the Boltzmann equation with moderately soft potentials" @default.
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- W2978408432 hasPublicationYear "2019" @default.
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