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Opis

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?

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Science: general issues Maths for scientists

• Pełny tytuł: Cauchy Problem in Kinetic Theory
• Autor: Robert T. Glassey
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 254
• EAN: 9780898713671
• ISBN: 0898713676
• ID: 02050054
• Wydawca: Society for Industrial & Applied Mathematics,U.S.
• Waga: 479 g
• Wymiary: 178 × 253 × 18 mm

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