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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.
Nákup knihy
A Birman-Schwinger Principle in Galactic Dynamics, Markus Kunze
- Jazyk
- Rok vydania
- 2022
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Platobné metódy
Nikto zatiaľ neohodnotil.
- Jazyk
- anglicky
- Autori
- Markus Kunze
- Vydavateľ
- Springer International Publishing
- Rok vydania
- 2022
- Väzba
- mäkká
- Počet strán
- 216
- ISBN13
- 9783030751883
- Série
- Anotácia
- 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.