Search for dissertations about: "weak solvability"

Found 3 swedish dissertations containing the words weak solvability.

  1. 1. 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

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

    University dissertation from Karlstad : Karlstads universitet

    Author : Arthur J. Vromans; Adrian Muntean; Claudia Timofte; [2019]
    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

  3. 3. Solution to boundary-contact problems of elasticity in mathematical models of the printing-plate contact system for flexographic printing

    University dissertation from Fakulteten för teknik- och naturvetenskap

    Author : Nikolai Kotik; Yury Shestopalov; Stig Larsson; [2007]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; boundary-contact problem; elasticity; integral equation; approximate decomposition; MATHEMATICS Applied mathematics; MATEMATIK Tillämpad matematik; Matematik; Mathematics;

    Abstract : Boundary-contact problems (BCPs) are studied within the frames ofclassical mathematical theory of elasticity and plasticityelaborated by Landau, Kupradze, Timoshenko, Goodier, Fichera andmany others on the basis of analysis of two- and three-dimensionalboundary value problems for linear partial differential equations.A great attention is traditionally paid both to theoreticalinvestigations using variational methods and boundary singularintegral equations (Muskhelishvili) and construction of solutionsin the form that admit efficient numerical evaluation (Kupradze). READ MORE