Search for dissertations about: "discrete-velocity"

Showing result 1 - 5 of 6 swedish dissertations containing the word discrete-velocity.

  2. 1. 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

  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. Two Problems on Existence and Approximation Related to the Boltzmann Equation

    Author : Vladislav Panferov; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Boltzmann equation; Povzner type models; diffuse reflection; discrete-velocity models; existence for large data; weak compactness; consistency; convergence; diffuse reflection;

    Abstract : In this thesis, two different types of problems related to the Boltzmann equation of kinetic theory are studied. The first part is devoted to establishing consistency and convergence for discrete-velocity models of the Boltzmann equation. For a new such model, introduced by the author jointly with A. READ MORE

  6. 4. Some Problems in Kinetic Theory and Applications

    Author : Åsa Windfäll; Alexander Bobylev; Giampiero Spiga; Karlstads universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Abstract : This thesis consists of four papers. the first is devoted to discrete velocity models, the second to hydrodynamic equation beyond Navier-Stokes level, the third to a multi-linear Maxwell model for economic or social dynamics and the fourth is devoted to a function related to the Riemann zeta-function. READ MORE

  7. 5. Classification of Normal Discrete Kinetic Models

    Author : Mirela Christina Vinerean; Alexander Bobylev; Mirela Vinerean-Bernhoff; Karlstads universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Kinetic theory; discrete kinetic velocity models; conservation laws; MATHEMATICS; MATEMATIK; Matematik; Mathematics;

    Abstract : “In many interesting papers on discrete velocity models (DVMs), authors postulate from the beginning that the finite velocity space with "good" properties is given and only after this step they study the Discrete Boltzmann Equation. Contrary to this approach, our aim is not to study the equation, but to discuss all possible choices of finite phase spaces (sets) satisfying this type of "good" restrictions. READ MORE