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Showing 1 to 5 of 5 for “"Vlasov--Poisson system"”.
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Existence and stability of stellardynamic models
… and stability of stationary solutions to the Vlasov-Poisson system. This system is used in stellardynmaics to describe the evolution of galaxies where collissions are neglected and the evolution is determined by the self-consistent gravitational field which is created by the particles, e.g. …
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Linear and non-linear collisionless many-particle systems
… results for collisionless many-particle systems described by distribution functions satisfying classical kinetic models arising in astrophysics. On the one hand, we study the large time behavior of solutions to the Vlasov--Poisson system, which describes a self-gravitating system …
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Stability of flat galaxies
… properties of stationary solutions of the flat Vlasov-Poisson system. This system of partial differential equations can be used as a model of extremely flat astronomical objects and is a combination between the two-dimensional motion of particles and the three-dimensional interaction through …
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Contributions to the Derivation and Well-posedness Theory of Kinetic Equations
… are involved in the modelling of many-particle systems. The Vlasov-Poisson system is a model for a dilute plasma in an electrostatic regime. The classical version describes the electrons in the plasma. The first part of this thesis focuses on a variant known as the Vlasov-Poisson system with …
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Asymptotic Behaviour and Derivation of Mean Field Models
… and derivation of mean field models from systems of many particles. Chapter 1 introduces mean field models and their derivation, and then summarises the following chapters of this thesis. Chapters 2, 3 and 4 directly study systems composed of many particles. In Chapter 2 we prove …