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- W2303769285 abstract "In this paper, we study the initial value problem of a Boltzmann type equation with a nonlinear degenerate damping. We prove the existence of global weak solutions with large initial data, in three dimensional space. We rely on a variant version of the Gronwall inequality and $L^p$ regularity of average velocities to derive the compactness of solutions to a suitable approximation. This allows us to recover a weak solution by passing to the limits. After the existence result, we also prove energy conservation for the weak solution under some certain condition." @default.
- W2303769285 created "2016-06-24" @default.
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- W2303769285 date "2016-03-22" @default.
- W2303769285 modified "2023-09-26" @default.
- W2303769285 title "The weak solution to a Boltzmann type equation and its energy conservation" @default.
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- W2303769285 doi "https://doi.org/10.48550/arxiv.1603.06932" @default.
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