A New Variational Approach to the Stability of Gravitational Systems

We consider the three dimensional gravitational Vlasov Poisson system which describes the mechanical state of a stellar system subject to its own gravity. A well-known conjecture in astrophysics is that the steady state solutions which are nonincreasing functions of their microscopic energy are nonl...

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Vydané v:	Communications in mathematical physics Ročník 302; číslo 1; s. 161 - 224
Hlavní autori:	Lemou, Mohammed, Méhats, Florian, Raphaël, Pierre
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer-Verlag 01.02.2011 Springer Springer Verlag
Predmet:	Analysis of PDEs Classical and Quantum Gravitation Complex Systems Exact sciences and technology Mathematical analysis Mathematical and Computational Physics Mathematical methods in physics Mathematical Physics Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Other topics in mathematical methods in physics Partial differential equations Physics Physics and Astronomy Quantum Physics Relativity Theory Sciences and techniques of general use Theoretical Stellar System Variational Approach Nonlinear Stability Monotonicity Formula Orbital Stability Three-dimensional calculations Hamiltonians Mechanical system Steady state Steady state solution Mathematical physics Numerical stability Concentration compactness Non linear stability galaxies models nonlinear stability stellar dynamics orbital stability states
ISSN:	0010-3616, 1432-0916
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