A Birman-Schwinger Principle in Galactic Dynamics

Více o knize

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.