The Cauchy Problem in Kinetic Theory - Softcover

Glassey, Robert T.

9780898713671: The Cauchy Problem in Kinetic Theory

Softcover

ISBN 10: 0898713676 ISBN 13: 9780898713671

Publisher: Society for Industrial and Applied Mathematics, 1987

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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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Review

'The book will make a very valuable addition to the bookshelf of every researcher in mathematical kinetic theory.' Reinhard Ilner, SIAM Review

Book Description

Studies the basic equations of kinetic theory in all of space, and contains up-to-date, state-of-the-art treatments of initial-value problems for the major kinetic equations. This is the only existing book to treat Boltzmann-type problems and Vlasov-type problems together. Although describing very different phenomena, these equations share the same streaming term.

"About this title" may belong to another edition of this title.