The Cauchy problem in kinetic theory by Robert T. Glassey

The Cauchy problem in kinetic theory



Download The Cauchy problem in kinetic theory




The Cauchy problem in kinetic theory Robert T. Glassey
Language: English
Page: 254
Format: djvu
ISBN: 0898713676, 9780898713671
Publisher: Society for Industrial Mathematics

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?

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