Abstract
The global existence of a weak solution for the Cauchy problem for the Boltzmann equation, first obtained by DiPerna and Lions 13, was presented in . The proof applies to non-negative data with finite energy and entropy. In this chapter, we shall first deal with the initial boundary value problem, which arises when we consider the time evolution of a rarefied gas in a vessel Ω whose boundaries are kept at constant temperature.
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Cercignani, C., Illner, R., Pulvirenti, M. (1994). Existence Results for Initial-Boundary and Boundary Value Problems. In: The Mathematical Theory of Dilute Gases. Applied Mathematical Sciences, vol 106. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8524-8_10
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DOI: https://doi.org/10.1007/978-1-4419-8524-8_10
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