Search for dissertations about: "propagation of chaos"

Found 4 swedish dissertations containing the words propagation of chaos.

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

    Author : Dawan Mustafa; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Keywords : 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

  2. 2. Application of Uncertainty Quantification Techniques to Studies of Wall-Bounded Turbulent Flows

    Author : Saleh Rezaeiravesh; Mattias Liefvendahl; Gunilla Kreiss; Pierre Sagaut; Uppsala universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; NATURVETENSKAP; TEKNIK OCH TEKNOLOGIER; NATURAL SCIENCES; ENGINEERING AND TECHNOLOGY; Uncertainty Quantification; Large Eddy Simulation; Wall-Bounded Turbulent Flows; Wall Modeling; OpenFOAM; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Abstract : Wall-bounded turbulent flows occur in many engineering applications. The quantities of interest (QoIs) of these flows can be accurately obtained through experimental measurements and scale-resolving numerical approaches, such as large eddy simulation (LES). READ MORE

  3. 3. Stability and Mobility of Localized and Extended Excitations in Nonlinear Schrödinger Models

    Author : Michael Öster; Magnus Johansson; Sergej Flach; Linköpings universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Non-linear dynamics; chaos; Icke-linjär dynamik; kaos;

    Abstract : This thesis is mainly concerned with the properties of some discrete nonlinear Schrödinger equations. These naturally arise in many different physical contexts as the limiting form of general dynamical lattice equations that incorporate nonlinearity and coupling. READ MORE

  4. 4. Uncertainty quantification for wave propagation and flow problems with random data

    Author : Markus Wahlsten; Jan Nordström; Per Pettersson; Rémi Abgrall; Linköpings universitet; []

    Abstract : In this thesis we study partial differential equations with random inputs. The effects that different boundary conditions with random data and uncertain geometries have on the solution are analyzed. Further, comparisons and couplings between different uncertainty quantification methods are performed. READ MORE