A Birman-Schwinger Principle in Galactic Dynamics: 77 (Progress in Mathematical Physics, 77) - Image 1

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Birkhauser A Birman-Schwinger Principle in Galactic Dynamics: 77 (Progress in Mathematical Physics, 77)

Name: A Birman-Schwinger Principle in Galactic Dynamics: 77 (Progress in Mathematical Physics, 77)
Brand: Birkhauser
Price: 99.06 GBP
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9783030751852

Astronomy

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This monograph develops an innovative approach that utilizes the Birman-Schwinger principle from quantum mechanics to investigate stability properties of steady state solutions in galactic dynamics. The opening chapters lay the framework for the main result through detailed treatments of nonrelativistic galactic dynamics and the Vlasov-Poisson system, the Antonov stability estimate, and the period function $T_1$. Then, as the main application, the Birman-Schwinger type principle is used to characterize in which cases the “best constant” in the Antonov stability estimate is attained. The final two chapters consider the relation to the Guo-Lin operator and invariance properties for the Vlasov-Poisson system, respectively. Several appendices are also included that cover necessary background material, such as spherically symmetric models, action-angle variables, relevant function spaces and operators, and some aspects of Kato-Rellich perturbation theory. A Birman-Schwinger Principle in Galactic Dynamics will be of interest to researchers in galactic dynamics, kinetic theory, and various aspects of quantum mechanics, as well as those in related areas of mathematical physics and applied mathematics. From the Back Cover This monograph develops an innovative approach that utilizes the Birman-Schwinger principle from quantum mechanics to investigate stability properties of steady state solutions in galactic dynamics. The opening chapters lay the framework for the main result through detailed treatments of nonrelativistic galactic dynamics and the Vlasov-Poisson system, the Antonov stability estimate, and the period function $T_1$. Then, as the main application, the Birman-Schwinger type principle is used to characterize in which cases the “best constant” in the Antonov stability estimate is attained. The final two chapters consider the relation to the Guo-Lin operator and invariance properties for the Vlasov-Poisson system, respectively. Several appendices are also included that cover necessary background material, such as spherically symmetric models, action-angle variables, relevant function spaces and operators, and some aspects of Kato-Rellich perturbation theory. A Birman-Schwinger Principle in Galactic Dynamics will be of interest to researchers in galactic dynamics, kinetic theory, and various aspects of quantum mechanics, as well as those in related areas of mathematical physics and applied mathematics.

Product Specifications

Brand: Birkhauser
Model: 9783030751852
Format: hardcover
ASIN: 3030751856
Category: Books > Subjects > Science, Nature & Maths > Astronomy & Space Science > Astronomy
Domain: Amazon UK
Release Date: 15 August 2021
Listed Since: 31 March 2021

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Birkhauser A Birman-Schwinger Principle in Galactic Dynamics: 77 (Progress in Mathematical Physics, 77)

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