Markus Kunze Book order

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.

The book provides a self-contained introduction to the mathematical theory of non-smooth dynamical problems, as they frequently arise from mechanical systems with friction and/or impacts. It is aimed at applied mathematicians, engineers, and applied scientists in general who wish to learn the subject.