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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.
Achat du livre
A Birman-Schwinger Principle in Galactic Dynamics, Markus Kunze
- Langue
- Année de publication
- 2021
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- (rigide)
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- Langue
- Anglais
- Auteurs
- Markus Kunze
- Publié
- 2021
- Format
- rigide
- Pages
- 216
- ISBN13
- 9783030751852
- Séries
- Mots clés
- Nonfiction, Science et Mathématiques, La nature, Mathématiques, Espace
- Description
- 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.