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The Cauchy Problem in Kinetic Theory [Repost]
![The Cauchy Problem in Kinetic Theory [Repost]](https://pixhost.icu/avaxhome/34/ae/0036ae34.jpeg)
Robert T. Glassey - The Cauchy Problem in Kinetic Theory
Published: 1987-01-01 | ISBN: 0898713676 | PDF + DJVU | 253 pages | 20.76 MB
This clearly written, self-contained volume studies the basic equations of kinetic theory in all of space. It contains up-to-date, state-of-the-art treatments of initial-value problems for the major kinetic equations, including the Boltzmann equation (from rarefied gas dynamics) and the Vlasov-Poisson/Vlasov-Maxwell systems (from plasma physics). This is the only existing book to treat Boltzmann-type problems and Vlasov-type problems together. Although these equations describe very different phenomena, they share the same streaming term. The author proves that solutions starting from a given configuration at an initial time exist for all future times by imposing appropriate hypotheses on the initial values in several important cases. He emphasizes those questions that a mathematician would ask first: Is there a solution to this problem? Is it unique? Can it be numerically approximated?