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- W2067359968 abstract "The Boltzmann equationwith a time-periodic inhomogeneous termis solved on the existence ofa time-periodic solution that is close to an absolute Maxwellian and hasthe same period as the inhomogeneous term, under some smallness assumption onthe inhomogeneous term and for the spatial dimension $nge 5$, and alsofor the case $n=3$ and $ 4$ with an additionalassumption that the spatial integral ofthe macroscopic component of the inhomogeneous termvanishes.This solution is a uniquetime-periodic solution near the relevant Maxwellianand asymptotically stable in time. Similar results are established alsowith the space-periodicboundary condition. As a special case,our results cover the casewhere the inhomogeneous term is time-independent,proving the uniqueexistence and asymptotic stability of stationary solutions.The proof is based on a combination ofthe contraction mapping principle and time-decay estimates ofsolutions to the linearized Boltzmann equation." @default.
- W2067359968 created "2016-06-24" @default.
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- W2067359968 date "2006-01-01" @default.
- W2067359968 modified "2023-09-29" @default.
- W2067359968 title "Time-periodic solutions of the Boltzmann equation" @default.
- W2067359968 doi "https://doi.org/10.3934/dcds.2006.14.579" @default.
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