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- W2048073432 abstract "We prove an $L^p$ compactness result for the gain parts of thelinearized Boltzmann collision operator associated with weakly cutoffcollision kernels that derive from a power-law intermolecularpotential. We replace the Grad cutoff assumption previously made byCaflisch [1], Golse and Poupaud [7], and Guo [11] with a weaker local integrability assumption. This classincludes all classical kernels to which the DiPerna-Lions theoryapplies that derive from a repulsive inverse-power intermolecularpotential. In particular, our approach allows the treatment of bothhard and soft potential cases." @default.
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- W2048073432 date "2010-01-01" @default.
- W2048073432 modified "2023-09-23" @default.
- W2048073432 title "Compactness of the gain parts of the linearized Boltzmann operator with weakly cutoff kernels" @default.
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- W2048073432 doi "https://doi.org/10.3934/krm.2010.3.335" @default.
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