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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.
Nákup knihy
A Birman-Schwinger Principle in Galactic Dynamics, Markus Kunze
- Jazyk
- Rok vydání
- 2021
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- Titul
- A Birman-Schwinger Principle in Galactic Dynamics
- Jazyk
- anglicky
- Autoři
- Markus Kunze
- Vydavatel
- Springer International Publishing
- Rok vydání
- 2021
- Vazba
- pevná
- Počet stran
- 216
- ISBN13
- 9783030751852
- Série
- Anotace
- 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.