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?
Produkteigenschaften
- Artikelnummer: 9780898713671
- Medium: Buch
- ISBN: 978-0-89871-367-1
- Verlag: Society for Industrial and Applied Mathematics
- Erscheinungstermin: 01.01.1987
- Sprache(n): Englisch
- Auflage: Erscheinungsjahr 1987
- Produktform: Kartoniert
- Gewicht: 479 g
- Seiten: 253
- Format (B x H x T): 152 x 228 x 17 mm
- Ausgabetyp: Kein, Unbekannt