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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.
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A Birman-Schwinger Principle in Galactic Dynamics, Markus Kunze
- Idioma
- Publicado en
- 2022
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- (Tapa blanda)
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- Idioma
- Inglés
- Autores
- Markus Kunze
- Editorial
- Springer International Publishing
- Publicado en
- 2022
- Formato
- Tapa blanda
- Páginas
- 216
- ISBN13
- 9783030751883
- Serie
- Etiquetas
- No ficción, Ciencia y Matemáticas, Naturaleza, Matemáticas, Espacio
- Descripción
- 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.