Search for dissertations about: "unbounded diffusion"

Showing result 1 - 5 of 9 swedish dissertations containing the words unbounded diffusion.

2. 1. A class of infinite dimensional stochastic processes with unbounded diffusion

   Author : John Karlsson; Jörg-Uwe Löbus; Christian Bayer; Linköpings universitet; []
   Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Malliavin calculus; Dirichlet form on Wiener space; unbounded diffusion;

   Abstract : The aim of this work is to provide an introduction into the theory of infinite dimensional stochastic processes. The thesis contains the paper A class of infinite dimensional stochastic processes with unbounded diffusion written at Linköping University during 2012. READ MORE

4. 2. Hindered diffusion of nanoparticles

   Author : Ananda Subramani Kannan; Chalmers University of Technology; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Aerosols; Colloids; Hydrodynamic interactions; Nanoscale and Rarefied gas.; Multiphase DNS; Langevin-immersed boundary method; Brownian motion; Mobility;

   Abstract : Brownian theory provides us with a powerful tool which can be used to delve into a microscopic world of molecules, cells and nanoparticles, that was originally presumed to be beyond our reach. Consequently, modeling the inherent dynamics of a system through a Brownian transport equation is of relevance to several real-word problems that involve nanoparticles including, the transport and mitigation of particulate matter (PM) generated though fossil fuel combustion and nanocarrier mediated drug delivery. READ MORE

5. 3. Convection-diffusion equation in unbounded cylinder and related homogenization problems

   Author : Iryna Pankratova; Luleå tekniska universitet; []
   Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

   Abstract : The thesis consists of two closely related papers (A and B). Paper A is concerned with the study of the behaviour at infinity of solutions to second order elliptic equation with first order terms stated in a half-cylinder. READ MORE

6. 4. Homogenization of reaction-diffusion problems with nonlinear drift in thin structures

   Author : Vishnu Raveendran; Adrian Muntean; Emilio N.M. Cirillo; Claudia Timofte; Karlstads universitet; []
   Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; Thin layer; homogenization; dimension reduction; reaction-diffusion-convection problem; two-scale convergence; effective transmission condition; fast drift; weak solvability of quasi-linear parabolic systems in unbounded domains.; Matematik; Mathematics;

   Abstract : We study the question of periodic homogenization of a variably scaled reaction-diffusion equation with non-linear drift of polynomial type. The non-linear drift was derived as hydrodynamic limit of a totally asymmetric simple exclusion process (TASEP) for a population of interacting particles crossing a domain with obstacle. READ MORE

7. 5. A class of infinite dimensional stochastic processes with unbounded diffusion and its associated Dirichlet forms

   Author : John Karlsson; Jörg-Uwe Löbus; Torkel Erhardsson; Hans-Jürgen Engelbert; Linköpings universitet; []
   Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : This thesis consists of two papers which focuses on a particular diffusion type Dirichlet form  where  Here  is the basis in the Cameron-Martin space, H, consisting of the Schauder functions, and ν denotes the Wiener measure.In Paper I, we let  vary over the space of wiener trajectories in a way that the diffusion operator A is almost everywhere an unbounded operator on the Cameron–Martin space. READ MORE