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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
- Language
- Released
- 2021
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- (Hardcover)
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- Language
- English
- Authors
- Markus Kunze
- Publisher
- Springer International Publishing
- Released
- 2021
- Format
- Hardcover
- Pages
- 216
- ISBN13
- 9783030751852
- Series
- Tags
- Non-Fiction, Science & Math, Nature, Mathematics, Space
- 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.