Sökning: "Rothe method"

Visar resultat 1 - 5 av 6 avhandlingar innehållade orden Rothe method.

  1. 1. Parabolic problems on noncylindrical domains : the method of Rothe

    Författare :Komil Kuliev; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Sammanfattning : This Licentiate Thesis deals with parabolic problems on non-cylindrical domains. The existence and uniqueness of the corresponding initial- boundary value problem is proved by the method of Rothe, which - for the case of non-cylindrical domains - has to be appropriately generalized and applied. LÄS MER

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

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

    Sammanfattning : 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. LÄS MER

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

    Författare :Arthur J. Vromans; Adrian Muntean; Claudia Timofte; Karlstads universitet; []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER

  5. 4. Homogenization of Reynolds equations and of some parabolic problems via Rothe's method

    Författare :Emmanuel Kwame Essel; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Sammanfattning : This PhD thesis is focussed on some problems of great interest in applied mathematics. More precisely, we investigate some new questions in homogenization theory, which have been motivated by some concrete problems in tribology. LÄS MER

  7. 5. Some developments of the homogenization theory and related questions

    Författare :Jonas Engström; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : This thesis is mainly devoted to homogenization theory and it consists of an introduction, five papers and two conference proceedings. The introduction gives an elementary presentation of the basic ideas in homogenization theory, serves as an overview of the field and points out where the results of this thesis fit in. LÄS MER