A Birman-Schwinger Principle in Galactic Dynamics

Autor*innen

• Markus Kunze

Parameter

• 216 Seiten
• 8 Lesestunden

• Mathematik
• Natur
• Natur, Tiere
• Weltraum & Astronomie

Mehr zum Buch

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.

• Sprache: Englisch
• Erscheinungsdatum: 2022
• Einband: Paperback