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Found 3 swedish dissertations matching the above criteria.

  2. 1. Propagation of Chaos for Kac-like Particle Systems

    Author : Dawan Mustafa; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Master equations; chaotic densities; kinetic equations; propagation of chaos; Kac model; thermostatted master equation; Boltzmann equation; BGK equation; quenched process; uniform distribution; spectral gap; approximation process; kinetic equations;

    Abstract : This thesis concerns various aspects of the Kac model. The Kac model is a Markov jump process for a particle system where the total kinetic energy of the system is conserved. This particle model is connected to a limiting equation, describing the evolution of a one-particle density, when the numbers of particles tends to infinity. READ MORE

  4. 2. On Half-Space and Shock-Wave Problems for Discrete Velocity Models of the Boltzmann Equation

    Author : Niclas Bernhoff; Alexander Bobylev; Giuseppe Toscani; Karlstads universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Boltzmann equation; discrete velocity models; boundary value problems; shock waves; MATHEMATICS; MATEMATIK; Matematik; Mathematics;

    Abstract : We study some questions related to general discrete velocity (with arbitrarily number of velocities) models (DVMs) of the Boltzmann equation. In the case of plane stationary problems the typical DVM reduces to a dynamical system (system of ODEs). Properties of such systems are studied in the most general case. READ MORE

  5. 3. Discrete Velocity Models and Half-Space Problems

    Author : Niclas Bernhoff; Karlstads universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Boltzmann equation; discrete velocity models; half-space problems; Matematik; Mathematics;

    Abstract : We study some questions related to discrete velocity models (DVMs) of the Boltzmann equation. In the case of plane stationary problems the typical DVM reduces to a dynamical system (system of ODEs). Properties of such systems are studied in this paper in the most general case. READ MORE