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The book introduces a novel method applying the Birman-Schwinger principle from quantum mechanics to assess the stability of steady state solutions in galactic dynamics. It begins with a comprehensive exploration of nonrelativistic dynamics, the Vlasov-Poisson system, and the Antonov stability estimate. The core application characterizes when the optimal constant in the Antonov estimate is achieved. Subsequent chapters delve into the Guo-Lin operator and invariance in the Vlasov-Poisson framework, with appendices providing essential background on related mathematical concepts and theories.
Buchkauf
A Birman-Schwinger Principle in Galactic Dynamics, Markus Kunze
- Sprache
- Erscheinungsdatum
- 2022
- product-detail.submit-box.info.binding
- (Paperback)
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- Sprache
- Englisch
- Autor*innen
- Markus Kunze
- Erscheinungsdatum
- 2022
- Einband
- Paperback
- Seitenzahl
- 216
- ISBN13
- 9783030751883
- Reihe
- Schlagwörter
- Sachbücher, Wissenschaft & Mathematik, Natur, Mathematik, Weltraum
- Beschreibung
- The book introduces a novel method applying the Birman-Schwinger principle from quantum mechanics to assess the stability of steady state solutions in galactic dynamics. It begins with a comprehensive exploration of nonrelativistic dynamics, the Vlasov-Poisson system, and the Antonov stability estimate. The core application characterizes when the optimal constant in the Antonov estimate is achieved. Subsequent chapters delve into the Guo-Lin operator and invariance in the Vlasov-Poisson framework, with appendices providing essential background on related mathematical concepts and theories.