Search for dissertations about: "discrete kinetic velocity models"

Showing result 1 - 5 of 7 swedish dissertations containing the words discrete kinetic velocity models.

2. 1. Discrete Kinetic Models and Conservation Laws

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

   Abstract : Classical kinetic theory of gases is based on the Boltzmann equation (BE) which describes the evolution of a system of particles undergoing collisions preserving mass, momentum and energy. Discretization methods have been developed on the idea of replacing the original BE by a finite set of nonlinear hyperbolic PDEs corresponding to the densities linked to a suitable finite set of velocities. READ MORE

4. 2. 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

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

6. 4. 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

7. 5. 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