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Utilizing the Birman-Schwinger principle from quantum mechanics, this monograph explores stability properties of steady state solutions in galactic dynamics. It begins with foundational concepts in nonrelativistic dynamics and the Vlasov-Poisson system, leading to the application of the principle in determining when the "best constant" in the Antonov stability estimate is achieved. The final chapters examine the Guo-Lin operator and invariance properties of the Vlasov-Poisson system, accompanied by appendices that provide essential background on various mathematical models and theories.
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A Birman-Schwinger Principle in Galactic Dynamics, Markus Kunze
- Idioma
- Publicado en
- 2021
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- Idioma
- Inglés
- Autores
- Markus Kunze
- Editorial
- Springer International Publishing
- Publicado en
- 2021
- Formato
- Tapa dura
- Páginas
- 216
- ISBN13
- 9783030751852
- Serie
- Etiquetas
- No ficción, Ciencia y Matemáticas, Naturaleza, Matemáticas, Espacio
- Descripción
- Utilizing the Birman-Schwinger principle from quantum mechanics, this monograph explores stability properties of steady state solutions in galactic dynamics. It begins with foundational concepts in nonrelativistic dynamics and the Vlasov-Poisson system, leading to the application of the principle in determining when the "best constant" in the Antonov stability estimate is achieved. The final chapters examine the Guo-Lin operator and invariance properties of the Vlasov-Poisson system, accompanied by appendices that provide essential background on various mathematical models and theories.