Search for dissertations about: "reaction-diffusion equations"
Showing result 1 - 5 of 13 swedish dissertations containing the words reaction-diffusion equations.
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1. A pseudoparabolic reaction-diffusion-mechanics system : Modeling, analysis and simulation
Abstract : In this thesis, parabolic-pseudoparabolic equations are derived coupling chemical reactions, diffusion, flow and mechanics in a heterogeneous medium using the framework of mixture theory. The weak solvability in 1-D of the obtained models is studied. READ MORE
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2. Homogenization of pseudoparabolic reaction-diffusion-mechanics systems : Multiscale modeling, well-posedness and convergence rates
Abstract : In this dissertation, parabolic-pseudoparabolic equations are proposed to couple chemical reactions, diffusion, flow and mechanics in heterogeneous materials using the framework of mixture theory. The weak solvability is obtained in a one dimensional setting for the full system posed in a homogeneous domain - a formulation which we have obtained using the classical mixture theory. READ MORE
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3. Stochastic Simulation of Reaction-Diffusion Processes
Abstract : Numerical simulation methods have become an important tool in the study of chemical reaction networks in living cells. Many systems can, with high accuracy, be modeled by deterministic ordinary differential equations, but other systems require a more detailed level of modeling. READ MORE
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4. Homogenization of reaction-diffusion problems with nonlinear drift in thin structures
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
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5. Statistical inference on interacting particle systems with applications to cancer biology
Abstract : Interacting particle is a mathematical framework which allows for condensed and elegant modelling of complex phenomena undergoing both deterministic and random dynamics. While there are several ways to formulate an interacting particle system, this thesis focuses on modelling such dynamics using stochastic differential equations. READ MORE