Search for dissertations about: "well-posedness"

Showing result 1 - 5 of 38 swedish dissertations containing the word well-posedness.

  2. 1. Homogenization of pseudoparabolic reaction-diffusion-mechanics systems : Multiscale modeling, well-posedness and convergence rates

    Author : Arthur J. Vromans; Adrian Muntean; Claudia Timofte; Karlstads universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Reaction-diffusion-mechanics system; parameter delimitation; parabolic-pseudoparabolic equations; weak solvability; Rothe method; periodic homogenization; corrector estimates; vanishing thin domains; Matematik; Mathematics;

    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

  4. 2. The fW-mean filter framework for topology optimization and analysis of Friedrichs systems

    Author : Linus Hägg; Martin Berggren; Eddie Wadbro; Björn Engquist; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; topology optimization; filters; mathematical morphology; size control; minimum compliance problem; Friedrichs systems; well-posedness; variational formulations; linearized Euler’s equations; Galbrun’s equation; acoustics; Mathematics; matematik;

    Abstract : Part I. Topology optimization is the most general form of design optimization in which the optimal layout of material within a given region of space is to be determined. Filters are essential components of many successful density based topology optimization approaches. READ MORE

  5. 3. A numerical study of two-fluid models for dispersed two-phase flow

    Author : Reynir Levi Gudmundsson; Björn Sjögreen; Anders Petersson; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Numerical analysis; two-phase flow; two-fluid mode; well-posedness; numerical experiments; Numerisk analys; Numerical analysis; Numerisk analys;

    Abstract : In this thesis the two-fluid (Eulerian/Eulerian) formulation for dispersed two-phase flow is considered. Closure laws are needed for this type of models. We investigate both empirically based relations, which we refer to as a nongranular model, and relations obtained from kinetic theory of dense gases, which we refer to as a granular model. READ MORE

  6. 4. Mathematical analysis and approximation of a multiscale elliptic-parabolic system

    Author : Omar Richardson; Adrian Muntean; Alfred Schmidt; Karlstads universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Two-scale modelling; two-scale Galerkin approximation; inverse Robin estimates; elliptic-parabolic system; a priori analysis; a posteriori error estimators; Matematik; Mathematics;

    Abstract : We study a two-scale coupled system consisting of a macroscopic elliptic equation and a microscopic parabolic equation. This system models the interplay between a gas and liquid close to equilibrium within a porous medium with distributed microstructures. We use formal homogenization arguments to derive the target system. READ MORE

  7. 5. The Continuous Galerkin Method for Fractional Order Viscoelasticity

    Author : Fardin Saedpanah; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : We consider a fractional order integro-differential equation with a weakly singular convolution kernel. The equation with homogeneous Dirichlet boundary conditions is reformulated as an abstract Cauchy problem, and well-posedness is verified in the context of linear semigroup theory. READ MORE