The symmetric eigenvalue problem
Beresford N. Parlett (American Management Association, 1998)
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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? The topics treated include the study of the Boltzmann collision operator, the study of the initial-value problem for the Boltzmann equation with "small" and "near equilibrium" data, global smooth solvability of the initial-value problem for the Vlasov-Poisson system with smooth initial data of unrestricted size, conditions under which the initial-value problem for the Vlasov-Maxwell system has global-in-time solutions (in both the smooth and weak senses), and more. |
 The symmetric eigenvalue problem.pdf :: Unduh
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| No. Panggil : | e20448568 |
| Entri utama-Nama orang : | |
| Subjek : | |
| Penerbitan : | New York: American Management Association, 1998 |
| Sumber Pengatalogan: | LibUI eng rda |
| Tipe Konten: | text |
| Tipe Media: | computer |
| Tipe Pembawa: | online resource |
| Deskripsi Fisik: | xxvi, 398 pages : illustration |
| Tautan: | http://portal.igpublish.com/iglibrary/search/SIAMB0000316.main.html?17 |
| Lembaga Pemilik: | |
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| No. Panggil | No. Barkod | Ketersediaan |
|---|---|---|
| e20448568 | 02-17-149390726 | TERSEDIA |
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| Tidak ada ulasan pada koleksi ini: 20448568 |
