Search for dissertations about: "Parabolic system"

Showing result 1 - 5 of 41 swedish dissertations containing the words Parabolic system.

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

    University dissertation from Karlstad : Karlstads universitet

    Author : Omar Richardson; Adrian Muntean; Alfred Schmidt; [2018]
    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

  2. 2. Asymptotic analysis of solutions to elliptic and parabolic problems

    University dissertation from Matematiska institutionen

    Author : Peter Rand; Vladimir Kozlov; Mikael Langer; Vitali Liskevich; [2006]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Asymptotic behaviour; The Emden-Fowler equation; Parabolic system; Spectral splitting; Cylinder; Perturbation; MATHEMATICS; MATEMATIK;

    Abstract : In the thesis we consider two types of problems. In Paper 1, we studysmall solutions to a time-independent nonlinear elliptic partial differential equation of Emden-Fowler type in a semi-infnite cylinder. The asymptotic behaviour of these solutions at infnity is determined. First, the equation under the Neumann boundary condition is studied. READ MORE

  3. 3. A pseudoparabolic reaction-diffusion-mechanics system Modeling, analysis and simulation

    University dissertation from Karlstad : Karlstads universitet

    Author : Arthur Vromans; Adrian Muntean; Martin Lind; Mohammad Asadzadeh; [2018]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; reaction-diffusion-mechanics model; parameter delimitation; parabolic-pseudoparabolic equations; weak solvability; Rothe method; periodic homogenization; Matematik; Mathematics;

    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

  4. 4. Qualitative Aspects of Nonlinear Parabolic Partial Differential Equations and Systems

    University dissertation from Centre for Mathematical Sciences, Lund University

    Author : Joakim Petersson; [2005]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics; Optimal constants; Global existence; Parabolic equations; Quenching;

    Abstract : This thesis contains four papers about some aspects of nonlinear parabolic equations and systems. Paper 1. A note on quenching for parabolic equations with dynamic boundary conditions We present a quenching result for semilinear parabolic equations with dynamic boundary conditions in bounded domains with a smooth boundary. Paper 2. READ MORE

  5. 5. Optical Efficiency of Low-Concentrating Solar Energy Systems with Parabolic Reflectors

    University dissertation from Uppsala : Acta Universitatis Upsaliensis

    Author : Maria Brogren; Uppsala universitet.; [2004]
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Engineering physics; Photovoltaic cells; Photovoltaic-thermal systems; Parabolic reflectors; Optical properties; Reflector materials; Optical efficiency; Accelerated ageing; Outdoor ageing; Building-integrated photovoltaics; Teknisk fysik; TECHNOLOGY Engineering physics; TEKNIKVETENSKAP Teknisk fysik;

    Abstract : Solar electricity is a promising energy technology for the future, and by using reflectors for concentrating solar radiation onto photovoltaic cells, the cost per produced kWh can be significantly reduced. The optical efficiency of a concentrating system determines the fraction of the incident energy that is transferred to the cells and depends on the optical properties of the system components. READ MORE